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Finding the Fourth Proportional to 2,443.38, 3,665.10 and 712.08

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Solution

The fourth proportional to 2,443.38, 3,665.10 and 712.08 is: 1,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.38 : 3,665.10 = 712.08 : x
  2. Step 2: Convert to fraction form
    2,443.38/3,665.10 = 712.08/x
  3. Step 3: Cross multiply
    2,443.38x = 3,665.10 × 712.08
  4. Step 4: Simplify right side
    2,443.38x = 2,609,844.41
  5. Step 5: Solve for x
    x = 2,609,844.41/2,443.38
  6. Step 6: Final answer
    x = 1,068.13

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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.