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Finding the Fourth Proportional to 2,052.11, 3,077.71 and 590.94

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Solution

The fourth proportional to 2,052.11, 3,077.71 and 590.94 is: 886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.11 : 3,077.71 = 590.94 : x
  2. Step 2: Convert to fraction form
    2,052.11/3,077.71 = 590.94/x
  3. Step 3: Cross multiply
    2,052.11x = 3,077.71 × 590.94
  4. Step 4: Simplify right side
    2,052.11x = 1,818,755.34
  5. Step 5: Solve for x
    x = 1,818,755.34/2,052.11
  6. Step 6: Final answer
    x = 886.29

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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.