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Finding the Fourth Proportional to 2,712.84, 3,743.70 and 1,534.14

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Solution

The fourth proportional to 2,712.84, 3,743.70 and 1,534.14 is: 2,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.84 : 3,743.70 = 1,534.14 : x
  2. Step 2: Convert to fraction form
    2,712.84/3,743.70 = 1,534.14/x
  3. Step 3: Cross multiply
    2,712.84x = 3,743.70 × 1,534.14
  4. Step 4: Simplify right side
    2,712.84x = 5,743,359.92
  5. Step 5: Solve for x
    x = 5,743,359.92/2,712.84
  6. Step 6: Final answer
    x = 2,117.10

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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.