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Finding the Fourth Proportional to 2,648.80, 3,654.95 and 1,586.32

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Solution

The fourth proportional to 2,648.80, 3,654.95 and 1,586.32 is: 2,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.80 : 3,654.95 = 1,586.32 : x
  2. Step 2: Convert to fraction form
    2,648.80/3,654.95 = 1,586.32/x
  3. Step 3: Cross multiply
    2,648.80x = 3,654.95 × 1,586.32
  4. Step 4: Simplify right side
    2,648.80x = 5,797,915.11
  5. Step 5: Solve for x
    x = 5,797,915.11/2,648.80
  6. Step 6: Final answer
    x = 2,188.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.