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Finding the Fourth Proportional to 2,630.45, 3,944.86 and 875.08

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Solution

The fourth proportional to 2,630.45, 3,944.86 and 875.08 is: 1,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.45 : 3,944.86 = 875.08 : x
  2. Step 2: Convert to fraction form
    2,630.45/3,944.86 = 875.08/x
  3. Step 3: Cross multiply
    2,630.45x = 3,944.86 × 875.08
  4. Step 4: Simplify right side
    2,630.45x = 3,452,068.09
  5. Step 5: Solve for x
    x = 3,452,068.09/2,630.45
  6. Step 6: Final answer
    x = 1,312.35

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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.