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Finding the Fourth Proportional to 2,145.92, 2,961.72 and 1,250.18

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Solution

The fourth proportional to 2,145.92, 2,961.72 and 1,250.18 is: 1,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.92 : 2,961.72 = 1,250.18 : x
  2. Step 2: Convert to fraction form
    2,145.92/2,961.72 = 1,250.18/x
  3. Step 3: Cross multiply
    2,145.92x = 2,961.72 × 1,250.18
  4. Step 4: Simplify right side
    2,145.92x = 3,702,683.11
  5. Step 5: Solve for x
    x = 3,702,683.11/2,145.92
  6. Step 6: Final answer
    x = 1,725.45

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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.