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Finding the Fourth Proportional to 2,034.67, 3,051.40 and 864.65

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Solution

The fourth proportional to 2,034.67, 3,051.40 and 864.65 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.67 : 3,051.40 = 864.65 : x
  2. Step 2: Convert to fraction form
    2,034.67/3,051.40 = 864.65/x
  3. Step 3: Cross multiply
    2,034.67x = 3,051.40 × 864.65
  4. Step 4: Simplify right side
    2,034.67x = 2,638,393.01
  5. Step 5: Solve for x
    x = 2,638,393.01/2,034.67
  6. Step 6: Final answer
    x = 1,296.72

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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.