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Finding the Fourth Proportional to 2,630.24, 3,945.57 and 875.18

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Solution

The fourth proportional to 2,630.24, 3,945.57 and 875.18 is: 1,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.24 : 3,945.57 = 875.18 : x
  2. Step 2: Convert to fraction form
    2,630.24/3,945.57 = 875.18/x
  3. Step 3: Cross multiply
    2,630.24x = 3,945.57 × 875.18
  4. Step 4: Simplify right side
    2,630.24x = 3,453,083.95
  5. Step 5: Solve for x
    x = 3,453,083.95/2,630.24
  6. Step 6: Final answer
    x = 1,312.84

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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.