Home / 2,098.34-3,160.00-1,827.70

Finding the Fourth Proportional to 2,098.34, 3,160.00 and 1,827.70

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Solution

The fourth proportional to 2,098.34, 3,160.00 and 1,827.70 is: 2,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.34 : 3,160.00 = 1,827.70 : x
  2. Step 2: Convert to fraction form
    2,098.34/3,160.00 = 1,827.70/x
  3. Step 3: Cross multiply
    2,098.34x = 3,160.00 × 1,827.70
  4. Step 4: Simplify right side
    2,098.34x = 5,775,519.53
  5. Step 5: Solve for x
    x = 5,775,519.53/2,098.34
  6. Step 6: Final answer
    x = 2,752.43

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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.