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Finding the Fourth Proportional to 2,509.11, 3,761.60 and 948.22

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Solution

The fourth proportional to 2,509.11, 3,761.60 and 948.22 is: 1,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.11 : 3,761.60 = 948.22 : x
  2. Step 2: Convert to fraction form
    2,509.11/3,761.60 = 948.22/x
  3. Step 3: Cross multiply
    2,509.11x = 3,761.60 × 948.22
  4. Step 4: Simplify right side
    2,509.11x = 3,566,824.35
  5. Step 5: Solve for x
    x = 3,566,824.35/2,509.11
  6. Step 6: Final answer
    x = 1,421.55

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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.