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Finding the Fourth Proportional to 1,652.64, 2,278.80 and 1,062.36

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Solution

The fourth proportional to 1,652.64, 2,278.80 and 1,062.36 is: 1,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.64 : 2,278.80 = 1,062.36 : x
  2. Step 2: Convert to fraction form
    1,652.64/2,278.80 = 1,062.36/x
  3. Step 3: Cross multiply
    1,652.64x = 2,278.80 × 1,062.36
  4. Step 4: Simplify right side
    1,652.64x = 2,420,905.97
  5. Step 5: Solve for x
    x = 2,420,905.97/1,652.64
  6. Step 6: Final answer
    x = 1,464.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.