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Finding the Fourth Proportional to 1,586.11, 2,378.53 and 611.59

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Solution

The fourth proportional to 1,586.11, 2,378.53 and 611.59 is: 917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.11 : 2,378.53 = 611.59 : x
  2. Step 2: Convert to fraction form
    1,586.11/2,378.53 = 611.59/x
  3. Step 3: Cross multiply
    1,586.11x = 2,378.53 × 611.59
  4. Step 4: Simplify right side
    1,586.11x = 1,454,685.16
  5. Step 5: Solve for x
    x = 1,454,685.16/1,586.11
  6. Step 6: Final answer
    x = 917.14

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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.