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Finding the Fourth Proportional to 1,629.46, 2,444.76 and 849.70

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Solution

The fourth proportional to 1,629.46, 2,444.76 and 849.70 is: 1,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.46 : 2,444.76 = 849.70 : x
  2. Step 2: Convert to fraction form
    1,629.46/2,444.76 = 849.70/x
  3. Step 3: Cross multiply
    1,629.46x = 2,444.76 × 849.70
  4. Step 4: Simplify right side
    1,629.46x = 2,077,312.57
  5. Step 5: Solve for x
    x = 2,077,312.57/1,629.46
  6. Step 6: Final answer
    x = 1,274.85

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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.