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Finding the Fourth Proportional to 2,348.46, 3,523.50 and 1,049.22

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Solution

The fourth proportional to 2,348.46, 3,523.50 and 1,049.22 is: 1,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,523.50 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,523.50 = 1,049.22/x
  3. Step 3: Cross multiply
    2,348.46x = 3,523.50 × 1,049.22
  4. Step 4: Simplify right side
    2,348.46x = 3,696,926.67
  5. Step 5: Solve for x
    x = 3,696,926.67/2,348.46
  6. Step 6: Final answer
    x = 1,574.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.