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Finding the Fourth Proportional to 3,223.70, 4,834.52 and 1,031.91

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Solution

The fourth proportional to 3,223.70, 4,834.52 and 1,031.91 is: 1,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.70 : 4,834.52 = 1,031.91 : x
  2. Step 2: Convert to fraction form
    3,223.70/4,834.52 = 1,031.91/x
  3. Step 3: Cross multiply
    3,223.70x = 4,834.52 × 1,031.91
  4. Step 4: Simplify right side
    3,223.70x = 4,988,770.11
  5. Step 5: Solve for x
    x = 4,988,770.11/3,223.70
  6. Step 6: Final answer
    x = 1,547.53

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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.