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Finding the Fourth Proportional to 2,034.15, 3,051.77 and 864.20

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Solution

The fourth proportional to 2,034.15, 3,051.77 and 864.20 is: 1,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.15 : 3,051.77 = 864.20 : x
  2. Step 2: Convert to fraction form
    2,034.15/3,051.77 = 864.20/x
  3. Step 3: Cross multiply
    2,034.15x = 3,051.77 × 864.20
  4. Step 4: Simplify right side
    2,034.15x = 2,637,339.63
  5. Step 5: Solve for x
    x = 2,637,339.63/2,034.15
  6. Step 6: Final answer
    x = 1,296.53

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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.