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Finding the Fourth Proportional to 2,390.81, 3,586.31 and 747.41

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Solution

The fourth proportional to 2,390.81, 3,586.31 and 747.41 is: 1,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.81 : 3,586.31 = 747.41 : x
  2. Step 2: Convert to fraction form
    2,390.81/3,586.31 = 747.41/x
  3. Step 3: Cross multiply
    2,390.81x = 3,586.31 × 747.41
  4. Step 4: Simplify right side
    2,390.81x = 2,680,422.29
  5. Step 5: Solve for x
    x = 2,680,422.29/2,390.81
  6. Step 6: Final answer
    x = 1,121.14

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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.