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Finding the Fourth Proportional to 1,761.83, 2,428.53 and 1,388.24

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Solution

The fourth proportional to 1,761.83, 2,428.53 and 1,388.24 is: 1,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.83 : 2,428.53 = 1,388.24 : x
  2. Step 2: Convert to fraction form
    1,761.83/2,428.53 = 1,388.24/x
  3. Step 3: Cross multiply
    1,761.83x = 2,428.53 × 1,388.24
  4. Step 4: Simplify right side
    1,761.83x = 3,371,382.49
  5. Step 5: Solve for x
    x = 3,371,382.49/1,761.83
  6. Step 6: Final answer
    x = 1,913.57

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