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Finding the Fourth Proportional to 2,476.81, 3,714.91 and 1,437.38

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Solution

The fourth proportional to 2,476.81, 3,714.91 and 1,437.38 is: 2,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.81 : 3,714.91 = 1,437.38 : x
  2. Step 2: Convert to fraction form
    2,476.81/3,714.91 = 1,437.38/x
  3. Step 3: Cross multiply
    2,476.81x = 3,714.91 × 1,437.38
  4. Step 4: Simplify right side
    2,476.81x = 5,339,715.17
  5. Step 5: Solve for x
    x = 5,339,715.17/2,476.81
  6. Step 6: Final answer
    x = 2,155.89

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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.