Home / 2,098-3,159.24-1,554.04

Finding the Fourth Proportional to 2,098, 3,159.24 and 1,554.04

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Solution

The fourth proportional to 2,098, 3,159.24 and 1,554.04 is: 2,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 3,159.24 = 1,554.04 : x
  2. Step 2: Convert to fraction form
    2,098/3,159.24 = 1,554.04/x
  3. Step 3: Cross multiply
    2,098x = 3,159.24 × 1,554.04
  4. Step 4: Simplify right side
    2,098x = 4,909,585.33
  5. Step 5: Solve for x
    x = 4,909,585.33/2,098
  6. Step 6: Final answer
    x = 2,340.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.