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Finding the Fourth Proportional to 2,049.51, 3,074.47 and 588.88

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Solution

The fourth proportional to 2,049.51, 3,074.47 and 588.88 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.51 : 3,074.47 = 588.88 : x
  2. Step 2: Convert to fraction form
    2,049.51/3,074.47 = 588.88/x
  3. Step 3: Cross multiply
    2,049.51x = 3,074.47 × 588.88
  4. Step 4: Simplify right side
    2,049.51x = 1,810,484.74
  5. Step 5: Solve for x
    x = 1,810,484.74/2,049.51
  6. Step 6: Final answer
    x = 883.37

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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.