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Finding the Fourth Proportional to 3,062.14, 4,593.38 and 870.69

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Solution

The fourth proportional to 3,062.14, 4,593.38 and 870.69 is: 1,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.14 : 4,593.38 = 870.69 : x
  2. Step 2: Convert to fraction form
    3,062.14/4,593.38 = 870.69/x
  3. Step 3: Cross multiply
    3,062.14x = 4,593.38 × 870.69
  4. Step 4: Simplify right side
    3,062.14x = 3,999,410.03
  5. Step 5: Solve for x
    x = 3,999,410.03/3,062.14
  6. Step 6: Final answer
    x = 1,306.08

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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.