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Finding the Fourth Proportional to 1,535.68, 2,300.60 and 1,327.92

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Solution

The fourth proportional to 1,535.68, 2,300.60 and 1,327.92 is: 1,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.68 : 2,300.60 = 1,327.92 : x
  2. Step 2: Convert to fraction form
    1,535.68/2,300.60 = 1,327.92/x
  3. Step 3: Cross multiply
    1,535.68x = 2,300.60 × 1,327.92
  4. Step 4: Simplify right side
    1,535.68x = 3,055,012.75
  5. Step 5: Solve for x
    x = 3,055,012.75/1,535.68
  6. Step 6: Final answer
    x = 1,989.36

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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.