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Finding the Fourth Proportional to 2,051.91, 3,077.42 and 590.67

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Solution

The fourth proportional to 2,051.91, 3,077.42 and 590.67 is: 885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.91 : 3,077.42 = 590.67 : x
  2. Step 2: Convert to fraction form
    2,051.91/3,077.42 = 590.67/x
  3. Step 3: Cross multiply
    2,051.91x = 3,077.42 × 590.67
  4. Step 4: Simplify right side
    2,051.91x = 1,817,736.72
  5. Step 5: Solve for x
    x = 1,817,736.72/2,051.91
  6. Step 6: Final answer
    x = 885.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.