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Finding the Fourth Proportional to 2,632.40, 3,947.88 and 988.82

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Solution

The fourth proportional to 2,632.40, 3,947.88 and 988.82 is: 1,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.40 : 3,947.88 = 988.82 : x
  2. Step 2: Convert to fraction form
    2,632.40/3,947.88 = 988.82/x
  3. Step 3: Cross multiply
    2,632.40x = 3,947.88 × 988.82
  4. Step 4: Simplify right side
    2,632.40x = 3,903,742.70
  5. Step 5: Solve for x
    x = 3,903,742.70/2,632.40
  6. Step 6: Final answer
    x = 1,482.96

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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.