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Finding the Fourth Proportional to 1,367.60, 2,052.44 and 1,003.32

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Solution

The fourth proportional to 1,367.60, 2,052.44 and 1,003.32 is: 1,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.60 : 2,052.44 = 1,003.32 : x
  2. Step 2: Convert to fraction form
    1,367.60/2,052.44 = 1,003.32/x
  3. Step 3: Cross multiply
    1,367.60x = 2,052.44 × 1,003.32
  4. Step 4: Simplify right side
    1,367.60x = 2,059,254.10
  5. Step 5: Solve for x
    x = 2,059,254.10/1,367.60
  6. Step 6: Final answer
    x = 1,505.74

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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.