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Finding the Fourth Proportional to 1,917.38, 2,647.78 and 1,246.34

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Solution

The fourth proportional to 1,917.38, 2,647.78 and 1,246.34 is: 1,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.38 : 2,647.78 = 1,246.34 : x
  2. Step 2: Convert to fraction form
    1,917.38/2,647.78 = 1,246.34/x
  3. Step 3: Cross multiply
    1,917.38x = 2,647.78 × 1,246.34
  4. Step 4: Simplify right side
    1,917.38x = 3,300,034.13
  5. Step 5: Solve for x
    x = 3,300,034.13/1,917.38
  6. Step 6: Final answer
    x = 1,721.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.