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Finding the Fourth Proportional to 2,011.02, 2,773.08 and 1,732.02

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Solution

The fourth proportional to 2,011.02, 2,773.08 and 1,732.02 is: 2,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.02 : 2,773.08 = 1,732.02 : x
  2. Step 2: Convert to fraction form
    2,011.02/2,773.08 = 1,732.02/x
  3. Step 3: Cross multiply
    2,011.02x = 2,773.08 × 1,732.02
  4. Step 4: Simplify right side
    2,011.02x = 4,803,030.02
  5. Step 5: Solve for x
    x = 4,803,030.02/2,011.02
  6. Step 6: Final answer
    x = 2,388.36

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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.