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Finding the Fourth Proportional to 2,049.77, 3,074.90 and 588.93

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Solution

The fourth proportional to 2,049.77, 3,074.90 and 588.93 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.77 : 3,074.90 = 588.93 : x
  2. Step 2: Convert to fraction form
    2,049.77/3,074.90 = 588.93/x
  3. Step 3: Cross multiply
    2,049.77x = 3,074.90 × 588.93
  4. Step 4: Simplify right side
    2,049.77x = 1,810,897.91
  5. Step 5: Solve for x
    x = 1,810,897.91/2,049.77
  6. Step 6: Final answer
    x = 883.47

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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.