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Finding the Fourth Proportional to 1,528.80, 2,293.20 and 879.60

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Solution

The fourth proportional to 1,528.80, 2,293.20 and 879.60 is: 1,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.80 : 2,293.20 = 879.60 : x
  2. Step 2: Convert to fraction form
    1,528.80/2,293.20 = 879.60/x
  3. Step 3: Cross multiply
    1,528.80x = 2,293.20 × 879.60
  4. Step 4: Simplify right side
    1,528.80x = 2,017,098.72
  5. Step 5: Solve for x
    x = 2,017,098.72/1,528.80
  6. Step 6: Final answer
    x = 1,319.40

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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.