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Finding the Fourth Proportional to 2,975.60, 4,463.51 and 895.90

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Solution

The fourth proportional to 2,975.60, 4,463.51 and 895.90 is: 1,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.60 : 4,463.51 = 895.90 : x
  2. Step 2: Convert to fraction form
    2,975.60/4,463.51 = 895.90/x
  3. Step 3: Cross multiply
    2,975.60x = 4,463.51 × 895.90
  4. Step 4: Simplify right side
    2,975.60x = 3,998,849.69
  5. Step 5: Solve for x
    x = 3,998,849.69/2,975.60
  6. Step 6: Final answer
    x = 1,343.88

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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.