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Finding the Fourth Proportional to 1,391.30, 2,085.86 and 732.31

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Solution

The fourth proportional to 1,391.30, 2,085.86 and 732.31 is: 1,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.30 : 2,085.86 = 732.31 : x
  2. Step 2: Convert to fraction form
    1,391.30/2,085.86 = 732.31/x
  3. Step 3: Cross multiply
    1,391.30x = 2,085.86 × 732.31
  4. Step 4: Simplify right side
    1,391.30x = 1,527,495.08
  5. Step 5: Solve for x
    x = 1,527,495.08/1,391.30
  6. Step 6: Final answer
    x = 1,097.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.