Home / 2,077.98-3,114.13-1,102.14

Finding the Fourth Proportional to 2,077.98, 3,114.13 and 1,102.14

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Solution

The fourth proportional to 2,077.98, 3,114.13 and 1,102.14 is: 1,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.98 : 3,114.13 = 1,102.14 : x
  2. Step 2: Convert to fraction form
    2,077.98/3,114.13 = 1,102.14/x
  3. Step 3: Cross multiply
    2,077.98x = 3,114.13 × 1,102.14
  4. Step 4: Simplify right side
    2,077.98x = 3,432,207.24
  5. Step 5: Solve for x
    x = 3,432,207.24/2,077.98
  6. Step 6: Final answer
    x = 1,651.70

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1.5x scale

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.