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Finding the Fourth Proportional to 2,163.74, 3,246.20 and 702.89

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Solution

The fourth proportional to 2,163.74, 3,246.20 and 702.89 is: 1,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.74 : 3,246.20 = 702.89 : x
  2. Step 2: Convert to fraction form
    2,163.74/3,246.20 = 702.89/x
  3. Step 3: Cross multiply
    2,163.74x = 3,246.20 × 702.89
  4. Step 4: Simplify right side
    2,163.74x = 2,281,731.39
  5. Step 5: Solve for x
    x = 2,281,731.39/2,163.74
  6. Step 6: Final answer
    x = 1,054.53

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1.5x scale

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.