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Finding the Fourth Proportional to 2,657.64, 3,986.50 and 1,358.30

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Solution

The fourth proportional to 2,657.64, 3,986.50 and 1,358.30 is: 2,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.64 : 3,986.50 = 1,358.30 : x
  2. Step 2: Convert to fraction form
    2,657.64/3,986.50 = 1,358.30/x
  3. Step 3: Cross multiply
    2,657.64x = 3,986.50 × 1,358.30
  4. Step 4: Simplify right side
    2,657.64x = 5,414,862.95
  5. Step 5: Solve for x
    x = 5,414,862.95/2,657.64
  6. Step 6: Final answer
    x = 2,037.47

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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.