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Finding the Fourth Proportional to 2,729.64, 4,088.01 and 1,338.60

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Solution

The fourth proportional to 2,729.64, 4,088.01 and 1,338.60 is: 2,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.64 : 4,088.01 = 1,338.60 : x
  2. Step 2: Convert to fraction form
    2,729.64/4,088.01 = 1,338.60/x
  3. Step 3: Cross multiply
    2,729.64x = 4,088.01 × 1,338.60
  4. Step 4: Simplify right side
    2,729.64x = 5,472,210.19
  5. Step 5: Solve for x
    x = 5,472,210.19/2,729.64
  6. Step 6: Final answer
    x = 2,004.74

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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.