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Finding the Fourth Proportional to 1,586.94, 2,377.98 and 1,380.48

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Solution

The fourth proportional to 1,586.94, 2,377.98 and 1,380.48 is: 2,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.94 : 2,377.98 = 1,380.48 : x
  2. Step 2: Convert to fraction form
    1,586.94/2,377.98 = 1,380.48/x
  3. Step 3: Cross multiply
    1,586.94x = 2,377.98 × 1,380.48
  4. Step 4: Simplify right side
    1,586.94x = 3,282,753.83
  5. Step 5: Solve for x
    x = 3,282,753.83/1,586.94
  6. Step 6: Final answer
    x = 2,068.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.