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Finding the Fourth Proportional to 2,414.64, 3,332.80 and 1,367.32

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Solution

The fourth proportional to 2,414.64, 3,332.80 and 1,367.32 is: 1,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.64 : 3,332.80 = 1,367.32 : x
  2. Step 2: Convert to fraction form
    2,414.64/3,332.80 = 1,367.32/x
  3. Step 3: Cross multiply
    2,414.64x = 3,332.80 × 1,367.32
  4. Step 4: Simplify right side
    2,414.64x = 4,557,004.10
  5. Step 5: Solve for x
    x = 4,557,004.10/2,414.64
  6. Step 6: Final answer
    x = 1,887.24

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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.