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Finding the Fourth Proportional to 1,761.42, 2,431.71 and 1,411.50

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Solution

The fourth proportional to 1,761.42, 2,431.71 and 1,411.50 is: 1,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.42 : 2,431.71 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    1,761.42/2,431.71 = 1,411.50/x
  3. Step 3: Cross multiply
    1,761.42x = 2,431.71 × 1,411.50
  4. Step 4: Simplify right side
    1,761.42x = 3,432,358.67
  5. Step 5: Solve for x
    x = 3,432,358.67/1,761.42
  6. Step 6: Final answer
    x = 1,948.63

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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.