Home / 2,098.26-2,897.10-1,577.16

Finding the Fourth Proportional to 2,098.26, 2,897.10 and 1,577.16

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Solution

The fourth proportional to 2,098.26, 2,897.10 and 1,577.16 is: 2,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.26 : 2,897.10 = 1,577.16 : x
  2. Step 2: Convert to fraction form
    2,098.26/2,897.10 = 1,577.16/x
  3. Step 3: Cross multiply
    2,098.26x = 2,897.10 × 1,577.16
  4. Step 4: Simplify right side
    2,098.26x = 4,569,190.24
  5. Step 5: Solve for x
    x = 4,569,190.24/2,098.26
  6. Step 6: Final answer
    x = 2,177.61

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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.