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Finding the Fourth Proportional to 2,041.77, 2,800.69 and 2,024.20

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Solution

The fourth proportional to 2,041.77, 2,800.69 and 2,024.20 is: 2,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.77 : 2,800.69 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    2,041.77/2,800.69 = 2,024.20/x
  3. Step 3: Cross multiply
    2,041.77x = 2,800.69 × 2,024.20
  4. Step 4: Simplify right side
    2,041.77x = 5,669,156.70
  5. Step 5: Solve for x
    x = 5,669,156.70/2,041.77
  6. Step 6: Final answer
    x = 2,776.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.