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Finding the Fourth Proportional to 1,544.05, 2,315.53 and 958.15

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Solution

The fourth proportional to 1,544.05, 2,315.53 and 958.15 is: 1,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.05 : 2,315.53 = 958.15 : x
  2. Step 2: Convert to fraction form
    1,544.05/2,315.53 = 958.15/x
  3. Step 3: Cross multiply
    1,544.05x = 2,315.53 × 958.15
  4. Step 4: Simplify right side
    1,544.05x = 2,218,608.70
  5. Step 5: Solve for x
    x = 2,218,608.70/1,544.05
  6. Step 6: Final answer
    x = 1,436.88

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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.