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Finding the Fourth Proportional to 2,051.99, 3,077.61 and 590.78

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Solution

The fourth proportional to 2,051.99, 3,077.61 and 590.78 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.99 : 3,077.61 = 590.78 : x
  2. Step 2: Convert to fraction form
    2,051.99/3,077.61 = 590.78/x
  3. Step 3: Cross multiply
    2,051.99x = 3,077.61 × 590.78
  4. Step 4: Simplify right side
    2,051.99x = 1,818,190.44
  5. Step 5: Solve for x
    x = 1,818,190.44/2,051.99
  6. Step 6: Final answer
    x = 886.06

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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.