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Finding the Fourth Proportional to 2,518.47, 3,778.04 and 875.15

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Solution

The fourth proportional to 2,518.47, 3,778.04 and 875.15 is: 1,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.47 : 3,778.04 = 875.15 : x
  2. Step 2: Convert to fraction form
    2,518.47/3,778.04 = 875.15/x
  3. Step 3: Cross multiply
    2,518.47x = 3,778.04 × 875.15
  4. Step 4: Simplify right side
    2,518.47x = 3,306,351.71
  5. Step 5: Solve for x
    x = 3,306,351.71/2,518.47
  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.