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Finding the Fourth Proportional to 1,761.46, 2,429.74 and 1,131.78

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Solution

The fourth proportional to 1,761.46, 2,429.74 and 1,131.78 is: 1,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.46 : 2,429.74 = 1,131.78 : x
  2. Step 2: Convert to fraction form
    1,761.46/2,429.74 = 1,131.78/x
  3. Step 3: Cross multiply
    1,761.46x = 2,429.74 × 1,131.78
  4. Step 4: Simplify right side
    1,761.46x = 2,749,931.14
  5. Step 5: Solve for x
    x = 2,749,931.14/1,761.46
  6. Step 6: Final answer
    x = 1,561.17

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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.