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Finding the Fourth Proportional to 1,139.34, 1,718.54 and 1,071.91

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Solution

The fourth proportional to 1,139.34, 1,718.54 and 1,071.91 is: 1,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.34 : 1,718.54 = 1,071.91 : x
  2. Step 2: Convert to fraction form
    1,139.34/1,718.54 = 1,071.91/x
  3. Step 3: Cross multiply
    1,139.34x = 1,718.54 × 1,071.91
  4. Step 4: Simplify right side
    1,139.34x = 1,842,120.21
  5. Step 5: Solve for x
    x = 1,842,120.21/1,139.34
  6. Step 6: Final answer
    x = 1,616.83

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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.