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Finding the Fourth Proportional to 2,020,807.83, 2,788,298.50 and 1,161,202.01

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Solution

The fourth proportional to 2,020,807.83, 2,788,298.50 and 1,161,202.01 is: 1,602,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,807.83 : 2,788,298.50 = 1,161,202.01 : x
  2. Step 2: Convert to fraction form
    2,020,807.83/2,788,298.50 = 1,161,202.01/x
  3. Step 3: Cross multiply
    2,020,807.83x = 2,788,298.50 × 1,161,202.01
  4. Step 4: Simplify right side
    2,020,807.83x = 3,237,777,822,679.99
  5. Step 5: Solve for x
    x = 3,237,777,822,679.99/2,020,807.83
  6. Step 6: Final answer
    x = 1,602,219.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.