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Finding the Fourth Proportional to 2,630.17, 3,944.78 and 875.00

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Solution

The fourth proportional to 2,630.17, 3,944.78 and 875.00 is: 1,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.17 : 3,944.78 = 875.00 : x
  2. Step 2: Convert to fraction form
    2,630.17/3,944.78 = 875.00/x
  3. Step 3: Cross multiply
    2,630.17x = 3,944.78 × 875.00
  4. Step 4: Simplify right side
    2,630.17x = 3,451,662.78
  5. Step 5: Solve for x
    x = 3,451,662.78/2,630.17
  6. Step 6: Final answer
    x = 1,312.34

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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.