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Finding the Fourth Proportional to 2,271.49, 3,406.51 and 732.13

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Solution

The fourth proportional to 2,271.49, 3,406.51 and 732.13 is: 1,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.49 : 3,406.51 = 732.13 : x
  2. Step 2: Convert to fraction form
    2,271.49/3,406.51 = 732.13/x
  3. Step 3: Cross multiply
    2,271.49x = 3,406.51 × 732.13
  4. Step 4: Simplify right side
    2,271.49x = 2,494,008.17
  5. Step 5: Solve for x
    x = 2,494,008.17/2,271.49
  6. Step 6: Final answer
    x = 1,097.96

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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.