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Finding the Fourth Proportional to 2,955.62, 4,433.64 and 981.15

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Solution

The fourth proportional to 2,955.62, 4,433.64 and 981.15 is: 1,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.62 : 4,433.64 = 981.15 : x
  2. Step 2: Convert to fraction form
    2,955.62/4,433.64 = 981.15/x
  3. Step 3: Cross multiply
    2,955.62x = 4,433.64 × 981.15
  4. Step 4: Simplify right side
    2,955.62x = 4,350,045.58
  5. Step 5: Solve for x
    x = 4,350,045.58/2,955.62
  6. Step 6: Final answer
    x = 1,471.79

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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.