Home / 2,135.10-3,202.65-575.10

Finding the Fourth Proportional to 2,135.10, 3,202.65 and 575.10

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Solution

The fourth proportional to 2,135.10, 3,202.65 and 575.10 is: 862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.10 : 3,202.65 = 575.10 : x
  2. Step 2: Convert to fraction form
    2,135.10/3,202.65 = 575.10/x
  3. Step 3: Cross multiply
    2,135.10x = 3,202.65 × 575.10
  4. Step 4: Simplify right side
    2,135.10x = 1,841,844.02
  5. Step 5: Solve for x
    x = 1,841,844.02/2,135.10
  6. Step 6: Final answer
    x = 862.65

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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.