Home / 2,101.24-3,152.14-714.96

Finding the Fourth Proportional to 2,101.24, 3,152.14 and 714.96

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Solution

The fourth proportional to 2,101.24, 3,152.14 and 714.96 is: 1,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.24 : 3,152.14 = 714.96 : x
  2. Step 2: Convert to fraction form
    2,101.24/3,152.14 = 714.96/x
  3. Step 3: Cross multiply
    2,101.24x = 3,152.14 × 714.96
  4. Step 4: Simplify right side
    2,101.24x = 2,253,654.01
  5. Step 5: Solve for x
    x = 2,253,654.01/2,101.24
  6. Step 6: Final answer
    x = 1,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.