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Finding the Fourth Proportional to 2,034.10, 3,051.56 and 864.10

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Solution

The fourth proportional to 2,034.10, 3,051.56 and 864.10 is: 1,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.10 : 3,051.56 = 864.10 : x
  2. Step 2: Convert to fraction form
    2,034.10/3,051.56 = 864.10/x
  3. Step 3: Cross multiply
    2,034.10x = 3,051.56 × 864.10
  4. Step 4: Simplify right side
    2,034.10x = 2,636,841.50
  5. Step 5: Solve for x
    x = 2,636,841.50/2,034.10
  6. Step 6: Final answer
    x = 1,296.32

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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.