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Finding the Fourth Proportional to 2,322.96, 3,480.26 and 1,541.12

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Solution

The fourth proportional to 2,322.96, 3,480.26 and 1,541.12 is: 2,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.96 : 3,480.26 = 1,541.12 : x
  2. Step 2: Convert to fraction form
    2,322.96/3,480.26 = 1,541.12/x
  3. Step 3: Cross multiply
    2,322.96x = 3,480.26 × 1,541.12
  4. Step 4: Simplify right side
    2,322.96x = 5,363,473.18
  5. Step 5: Solve for x
    x = 5,363,473.18/2,322.96
  6. Step 6: Final answer
    x = 2,308.90

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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.