Home / 1,586.30-2,377.28-1,008.14

Finding the Fourth Proportional to 1,586.30, 2,377.28 and 1,008.14

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Solution

The fourth proportional to 1,586.30, 2,377.28 and 1,008.14 is: 1,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.30 : 2,377.28 = 1,008.14 : x
  2. Step 2: Convert to fraction form
    1,586.30/2,377.28 = 1,008.14/x
  3. Step 3: Cross multiply
    1,586.30x = 2,377.28 × 1,008.14
  4. Step 4: Simplify right side
    1,586.30x = 2,396,631.06
  5. Step 5: Solve for x
    x = 2,396,631.06/1,586.30
  6. Step 6: Final answer
    x = 1,510.83

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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.