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Finding the Fourth Proportional to 1,487.42, 2,231.23 and 391.76

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Solution

The fourth proportional to 1,487.42, 2,231.23 and 391.76 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.42 : 2,231.23 = 391.76 : x
  2. Step 2: Convert to fraction form
    1,487.42/2,231.23 = 391.76/x
  3. Step 3: Cross multiply
    1,487.42x = 2,231.23 × 391.76
  4. Step 4: Simplify right side
    1,487.42x = 874,094.53
  5. Step 5: Solve for x
    x = 874,094.53/1,487.42
  6. Step 6: Final answer
    x = 587.66

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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.