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Finding the Fourth Proportional to 2,291.46, 3,437.10 and 731.40

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Solution

The fourth proportional to 2,291.46, 3,437.10 and 731.40 is: 1,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.46 : 3,437.10 = 731.40 : x
  2. Step 2: Convert to fraction form
    2,291.46/3,437.10 = 731.40/x
  3. Step 3: Cross multiply
    2,291.46x = 3,437.10 × 731.40
  4. Step 4: Simplify right side
    2,291.46x = 2,513,894.94
  5. Step 5: Solve for x
    x = 2,513,894.94/2,291.46
  6. Step 6: Final answer
    x = 1,097.07

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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.