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Finding the Fourth Proportional to 2,518.14, 3,777.54 and 875.16

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Solution

The fourth proportional to 2,518.14, 3,777.54 and 875.16 is: 1,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.14 : 3,777.54 = 875.16 : x
  2. Step 2: Convert to fraction form
    2,518.14/3,777.54 = 875.16/x
  3. Step 3: Cross multiply
    2,518.14x = 3,777.54 × 875.16
  4. Step 4: Simplify right side
    2,518.14x = 3,305,951.91
  5. Step 5: Solve for x
    x = 3,305,951.91/2,518.14
  6. Step 6: Final answer
    x = 1,312.85

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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.