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Finding the Fourth Proportional to 2,052.05, 3,077.36 and 590.81

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Solution

The fourth proportional to 2,052.05, 3,077.36 and 590.81 is: 886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.05 : 3,077.36 = 590.81 : x
  2. Step 2: Convert to fraction form
    2,052.05/3,077.36 = 590.81/x
  3. Step 3: Cross multiply
    2,052.05x = 3,077.36 × 590.81
  4. Step 4: Simplify right side
    2,052.05x = 1,818,132.11
  5. Step 5: Solve for x
    x = 1,818,132.11/2,052.05
  6. Step 6: Final answer
    x = 886.01

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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.