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Finding the Fourth Proportional to 2,713.49, 3,744.19 and 1,534.33

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Solution

The fourth proportional to 2,713.49, 3,744.19 and 1,534.33 is: 2,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.49 : 3,744.19 = 1,534.33 : x
  2. Step 2: Convert to fraction form
    2,713.49/3,744.19 = 1,534.33/x
  3. Step 3: Cross multiply
    2,713.49x = 3,744.19 × 1,534.33
  4. Step 4: Simplify right side
    2,713.49x = 5,744,823.04
  5. Step 5: Solve for x
    x = 5,744,823.04/2,713.49
  6. Step 6: Final answer
    x = 2,117.13

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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.