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Finding the Fourth Proportional to 1,761.40, 2,429.81 and 1,313.74

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Solution

The fourth proportional to 1,761.40, 2,429.81 and 1,313.74 is: 1,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.40 : 2,429.81 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    1,761.40/2,429.81 = 1,313.74/x
  3. Step 3: Cross multiply
    1,761.40x = 2,429.81 × 1,313.74
  4. Step 4: Simplify right side
    1,761.40x = 3,192,132.02
  5. Step 5: Solve for x
    x = 3,192,132.02/1,761.40
  6. Step 6: Final answer
    x = 1,812.27

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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.