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Finding the Fourth Proportional to 2,251.90, 3,347.46 and 2,185.46

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Solution

The fourth proportional to 2,251.90, 3,347.46 and 2,185.46 is: 3,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.90 : 3,347.46 = 2,185.46 : x
  2. Step 2: Convert to fraction form
    2,251.90/3,347.46 = 2,185.46/x
  3. Step 3: Cross multiply
    2,251.90x = 3,347.46 × 2,185.46
  4. Step 4: Simplify right side
    2,251.90x = 7,315,739.93
  5. Step 5: Solve for x
    x = 7,315,739.93/2,251.90
  6. Step 6: Final answer
    x = 3,248.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.