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Finding the Fourth Proportional to 1,681.61, 2,522.68 and 707.85

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Solution

The fourth proportional to 1,681.61, 2,522.68 and 707.85 is: 1,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.61 : 2,522.68 = 707.85 : x
  2. Step 2: Convert to fraction form
    1,681.61/2,522.68 = 707.85/x
  3. Step 3: Cross multiply
    1,681.61x = 2,522.68 × 707.85
  4. Step 4: Simplify right side
    1,681.61x = 1,785,677.27
  5. Step 5: Solve for x
    x = 1,785,677.27/1,681.61
  6. Step 6: Final answer
    x = 1,061.89

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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.