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Finding the Fourth Proportional to 2,051.58, 3,077.82 and 590.62

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Solution

The fourth proportional to 2,051.58, 3,077.82 and 590.62 is: 886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.58 : 3,077.82 = 590.62 : x
  2. Step 2: Convert to fraction form
    2,051.58/3,077.82 = 590.62/x
  3. Step 3: Cross multiply
    2,051.58x = 3,077.82 × 590.62
  4. Step 4: Simplify right side
    2,051.58x = 1,817,808.80
  5. Step 5: Solve for x
    x = 1,817,808.80/2,051.58
  6. Step 6: Final answer
    x = 886.05

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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.