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Finding the Fourth Proportional to 3,301.47, 4,952.34 and 1,546.47

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Solution

The fourth proportional to 3,301.47, 4,952.34 and 1,546.47 is: 2,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.47 : 4,952.34 = 1,546.47 : x
  2. Step 2: Convert to fraction form
    3,301.47/4,952.34 = 1,546.47/x
  3. Step 3: Cross multiply
    3,301.47x = 4,952.34 × 1,546.47
  4. Step 4: Simplify right side
    3,301.47x = 7,658,645.24
  5. Step 5: Solve for x
    x = 7,658,645.24/3,301.47
  6. Step 6: Final answer
    x = 2,319.77

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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.