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Finding the Fourth Proportional to 1,586.39, 2,378.80 and 546.11

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Solution

The fourth proportional to 1,586.39, 2,378.80 and 546.11 is: 818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.39 : 2,378.80 = 546.11 : x
  2. Step 2: Convert to fraction form
    1,586.39/2,378.80 = 546.11/x
  3. Step 3: Cross multiply
    1,586.39x = 2,378.80 × 546.11
  4. Step 4: Simplify right side
    1,586.39x = 1,299,084.18
  5. Step 5: Solve for x
    x = 1,299,084.18/1,586.39
  6. Step 6: Final answer
    x = 818.90

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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.