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Finding the Fourth Proportional to 1,681.81, 2,522.49 and 449.14

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Solution

The fourth proportional to 1,681.81, 2,522.49 and 449.14 is: 673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.81 : 2,522.49 = 449.14 : x
  2. Step 2: Convert to fraction form
    1,681.81/2,522.49 = 449.14/x
  3. Step 3: Cross multiply
    1,681.81x = 2,522.49 × 449.14
  4. Step 4: Simplify right side
    1,681.81x = 1,132,951.16
  5. Step 5: Solve for x
    x = 1,132,951.16/1,681.81
  6. Step 6: Final answer
    x = 673.65

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Why These Related Problems?

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