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Finding the Fourth Proportional to 3,314.40, 4,573.92 and 1,988.16

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Solution

The fourth proportional to 3,314.40, 4,573.92 and 1,988.16 is: 2,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,573.92 = 1,988.16 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,573.92 = 1,988.16/x
  3. Step 3: Cross multiply
    3,314.40x = 4,573.92 × 1,988.16
  4. Step 4: Simplify right side
    3,314.40x = 9,093,684.79
  5. Step 5: Solve for x
    x = 9,093,684.79/3,314.40
  6. Step 6: Final answer
    x = 2,743.69

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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.