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Finding the Fourth Proportional to 1,586.76, 2,377.68 and 1,343.76

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Solution

The fourth proportional to 1,586.76, 2,377.68 and 1,343.76 is: 2,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.76 : 2,377.68 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    1,586.76/2,377.68 = 1,343.76/x
  3. Step 3: Cross multiply
    1,586.76x = 2,377.68 × 1,343.76
  4. Step 4: Simplify right side
    1,586.76x = 3,195,031.28
  5. Step 5: Solve for x
    x = 3,195,031.28/1,586.76
  6. Step 6: Final answer
    x = 2,013.56

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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.