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Finding the Fourth Proportional to 2,051.73, 3,077.80 and 591.10

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Solution

The fourth proportional to 2,051.73, 3,077.80 and 591.10 is: 886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.73 : 3,077.80 = 591.10 : x
  2. Step 2: Convert to fraction form
    2,051.73/3,077.80 = 591.10/x
  3. Step 3: Cross multiply
    2,051.73x = 3,077.80 × 591.10
  4. Step 4: Simplify right side
    2,051.73x = 1,819,272.19
  5. Step 5: Solve for x
    x = 1,819,272.19/2,051.73
  6. Step 6: Final answer
    x = 886.70

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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.