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Finding the Fourth Proportional to 2,591.03, 3,886.52 and 643.22

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Solution

The fourth proportional to 2,591.03, 3,886.52 and 643.22 is: 964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.03 : 3,886.52 = 643.22 : x
  2. Step 2: Convert to fraction form
    2,591.03/3,886.52 = 643.22/x
  3. Step 3: Cross multiply
    2,591.03x = 3,886.52 × 643.22
  4. Step 4: Simplify right side
    2,591.03x = 2,499,879.32
  5. Step 5: Solve for x
    x = 2,499,879.32/2,591.03
  6. Step 6: Final answer
    x = 964.82

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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.