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Finding the Fourth Proportional to 2,605.11, 3,901.53 and 2,261.25

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Solution

The fourth proportional to 2,605.11, 3,901.53 and 2,261.25 is: 3,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.11 : 3,901.53 = 2,261.25 : x
  2. Step 2: Convert to fraction form
    2,605.11/3,901.53 = 2,261.25/x
  3. Step 3: Cross multiply
    2,605.11x = 3,901.53 × 2,261.25
  4. Step 4: Simplify right side
    2,605.11x = 8,822,334.71
  5. Step 5: Solve for x
    x = 8,822,334.71/2,605.11
  6. Step 6: Final answer
    x = 3,386.55

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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.