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Finding the Fourth Proportional to 2,126.48, 2,934.56 and 1,298.48

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Solution

The fourth proportional to 2,126.48, 2,934.56 and 1,298.48 is: 1,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.48 : 2,934.56 = 1,298.48 : x
  2. Step 2: Convert to fraction form
    2,126.48/2,934.56 = 1,298.48/x
  3. Step 3: Cross multiply
    2,126.48x = 2,934.56 × 1,298.48
  4. Step 4: Simplify right side
    2,126.48x = 3,810,467.47
  5. Step 5: Solve for x
    x = 3,810,467.47/2,126.48
  6. Step 6: Final answer
    x = 1,791.91

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