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Finding the Fourth Proportional to 1,587.65, 2,381.74 and 547.76

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Solution

The fourth proportional to 1,587.65, 2,381.74 and 547.76 is: 821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.65 : 2,381.74 = 547.76 : x
  2. Step 2: Convert to fraction form
    1,587.65/2,381.74 = 547.76/x
  3. Step 3: Cross multiply
    1,587.65x = 2,381.74 × 547.76
  4. Step 4: Simplify right side
    1,587.65x = 1,304,609.99
  5. Step 5: Solve for x
    x = 1,304,609.99/1,587.65
  6. Step 6: Final answer
    x = 821.73

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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.