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Finding the Fourth Proportional to 1,586.20, 2,374.98 and 815.08

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Solution

The fourth proportional to 1,586.20, 2,374.98 and 815.08 is: 1,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.20 : 2,374.98 = 815.08 : x
  2. Step 2: Convert to fraction form
    1,586.20/2,374.98 = 815.08/x
  3. Step 3: Cross multiply
    1,586.20x = 2,374.98 × 815.08
  4. Step 4: Simplify right side
    1,586.20x = 1,935,798.70
  5. Step 5: Solve for x
    x = 1,935,798.70/1,586.20
  6. Step 6: Final answer
    x = 1,220.40

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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.