Home / 2,537.10-3,806.33-977.11

Finding the Fourth Proportional to 2,537.10, 3,806.33 and 977.11

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Solution

The fourth proportional to 2,537.10, 3,806.33 and 977.11 is: 1,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.10 : 3,806.33 = 977.11 : x
  2. Step 2: Convert to fraction form
    2,537.10/3,806.33 = 977.11/x
  3. Step 3: Cross multiply
    2,537.10x = 3,806.33 × 977.11
  4. Step 4: Simplify right side
    2,537.10x = 3,719,188.70
  5. Step 5: Solve for x
    x = 3,719,188.70/2,537.10
  6. Step 6: Final answer
    x = 1,465.92

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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.