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Finding the Fourth Proportional to 1,159.34, 1,747.14 and 1,043.91

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Solution

The fourth proportional to 1,159.34, 1,747.14 and 1,043.91 is: 1,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.34 : 1,747.14 = 1,043.91 : x
  2. Step 2: Convert to fraction form
    1,159.34/1,747.14 = 1,043.91/x
  3. Step 3: Cross multiply
    1,159.34x = 1,747.14 × 1,043.91
  4. Step 4: Simplify right side
    1,159.34x = 1,823,856.92
  5. Step 5: Solve for x
    x = 1,823,856.92/1,159.34
  6. Step 6: Final answer
    x = 1,573.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.