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Finding the Fourth Proportional to 1,586.60, 2,380.08 and 612.56

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Solution

The fourth proportional to 1,586.60, 2,380.08 and 612.56 is: 918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.60 : 2,380.08 = 612.56 : x
  2. Step 2: Convert to fraction form
    1,586.60/2,380.08 = 612.56/x
  3. Step 3: Cross multiply
    1,586.60x = 2,380.08 × 612.56
  4. Step 4: Simplify right side
    1,586.60x = 1,457,941.80
  5. Step 5: Solve for x
    x = 1,457,941.80/1,586.60
  6. Step 6: Final answer
    x = 918.91

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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.