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Finding the Fourth Proportional to 2,752.71, 4,117.75 and 2,291.11

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Solution

The fourth proportional to 2,752.71, 4,117.75 and 2,291.11 is: 3,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.71 : 4,117.75 = 2,291.11 : x
  2. Step 2: Convert to fraction form
    2,752.71/4,117.75 = 2,291.11/x
  3. Step 3: Cross multiply
    2,752.71x = 4,117.75 × 2,291.11
  4. Step 4: Simplify right side
    2,752.71x = 9,434,218.20
  5. Step 5: Solve for x
    x = 9,434,218.20/2,752.71
  6. Step 6: Final answer
    x = 3,427.25

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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.