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Finding the Fourth Proportional to 1,586.34, 2,379.20 and 547.11

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Solution

The fourth proportional to 1,586.34, 2,379.20 and 547.11 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.34 : 2,379.20 = 547.11 : x
  2. Step 2: Convert to fraction form
    1,586.34/2,379.20 = 547.11/x
  3. Step 3: Cross multiply
    1,586.34x = 2,379.20 × 547.11
  4. Step 4: Simplify right side
    1,586.34x = 1,301,681.38
  5. Step 5: Solve for x
    x = 1,301,681.38/1,586.34
  6. Step 6: Final answer
    x = 820.56

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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.