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Finding the Fourth Proportional to 2,708.31, 4,062.77 and 1,064.64

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Solution

The fourth proportional to 2,708.31, 4,062.77 and 1,064.64 is: 1,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.31 : 4,062.77 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    2,708.31/4,062.77 = 1,064.64/x
  3. Step 3: Cross multiply
    2,708.31x = 4,062.77 × 1,064.64
  4. Step 4: Simplify right side
    2,708.31x = 4,325,382.13
  5. Step 5: Solve for x
    x = 4,325,382.13/2,708.31
  6. Step 6: Final answer
    x = 1,597.08

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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.