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Finding the Fourth Proportional to 2,407.60, 3,322.46 and 1,359.64

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Solution

The fourth proportional to 2,407.60, 3,322.46 and 1,359.64 is: 1,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.60 : 3,322.46 = 1,359.64 : x
  2. Step 2: Convert to fraction form
    2,407.60/3,322.46 = 1,359.64/x
  3. Step 3: Cross multiply
    2,407.60x = 3,322.46 × 1,359.64
  4. Step 4: Simplify right side
    2,407.60x = 4,517,326.10
  5. Step 5: Solve for x
    x = 4,517,326.10/2,407.60
  6. Step 6: Final answer
    x = 1,876.28

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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.