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Finding the Fourth Proportional to 2,498.64, 3,750.12 and 960.72

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Solution

The fourth proportional to 2,498.64, 3,750.12 and 960.72 is: 1,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,750.12 = 960.72 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,750.12 = 960.72/x
  3. Step 3: Cross multiply
    2,498.64x = 3,750.12 × 960.72
  4. Step 4: Simplify right side
    2,498.64x = 3,602,815.29
  5. Step 5: Solve for x
    x = 3,602,815.29/2,498.64
  6. Step 6: Final answer
    x = 1,441.91

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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.