Home / 2,098.26-2,894.52-1,426.10

Finding the Fourth Proportional to 2,098.26, 2,894.52 and 1,426.10

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Solution

The fourth proportional to 2,098.26, 2,894.52 and 1,426.10 is: 1,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.26 : 2,894.52 = 1,426.10 : x
  2. Step 2: Convert to fraction form
    2,098.26/2,894.52 = 1,426.10/x
  3. Step 3: Cross multiply
    2,098.26x = 2,894.52 × 1,426.10
  4. Step 4: Simplify right side
    2,098.26x = 4,127,874.97
  5. Step 5: Solve for x
    x = 4,127,874.97/2,098.26
  6. Step 6: Final answer
    x = 1,967.28

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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.