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Finding the Fourth Proportional to 3,062.07, 4,593.24 and 870.93

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Solution

The fourth proportional to 3,062.07, 4,593.24 and 870.93 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.07 : 4,593.24 = 870.93 : x
  2. Step 2: Convert to fraction form
    3,062.07/4,593.24 = 870.93/x
  3. Step 3: Cross multiply
    3,062.07x = 4,593.24 × 870.93
  4. Step 4: Simplify right side
    3,062.07x = 4,000,390.51
  5. Step 5: Solve for x
    x = 4,000,390.51/3,062.07
  6. Step 6: Final answer
    x = 1,306.43

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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.