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Finding the Fourth Proportional to 1,041.81, 1,561.16 and 949.61

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Solution

The fourth proportional to 1,041.81, 1,561.16 and 949.61 is: 1,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.81 : 1,561.16 = 949.61 : x
  2. Step 2: Convert to fraction form
    1,041.81/1,561.16 = 949.61/x
  3. Step 3: Cross multiply
    1,041.81x = 1,561.16 × 949.61
  4. Step 4: Simplify right side
    1,041.81x = 1,482,487.72
  5. Step 5: Solve for x
    x = 1,482,487.72/1,041.81
  6. Step 6: Final answer
    x = 1,422.99

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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.