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Finding the Fourth Proportional to 4,523.60, 6,785.92 and 1,602.24

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Solution

The fourth proportional to 4,523.60, 6,785.92 and 1,602.24 is: 2,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.60 : 6,785.92 = 1,602.24 : x
  2. Step 2: Convert to fraction form
    4,523.60/6,785.92 = 1,602.24/x
  3. Step 3: Cross multiply
    4,523.60x = 6,785.92 × 1,602.24
  4. Step 4: Simplify right side
    4,523.60x = 10,872,672.46
  5. Step 5: Solve for x
    x = 10,872,672.46/4,523.60
  6. Step 6: Final answer
    x = 2,403.54

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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.