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Finding the Fourth Proportional to 2,711.35, 3,740.56 and 1,649.14

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Solution

The fourth proportional to 2,711.35, 3,740.56 and 1,649.14 is: 2,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.35 : 3,740.56 = 1,649.14 : x
  2. Step 2: Convert to fraction form
    2,711.35/3,740.56 = 1,649.14/x
  3. Step 3: Cross multiply
    2,711.35x = 3,740.56 × 1,649.14
  4. Step 4: Simplify right side
    2,711.35x = 6,168,707.12
  5. Step 5: Solve for x
    x = 6,168,707.12/2,711.35
  6. Step 6: Final answer
    x = 2,275.14

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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.