Home / 1,540.12-2,312.70-1,298.20

Finding the Fourth Proportional to 1,540.12, 2,312.70 and 1,298.20

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Solution

The fourth proportional to 1,540.12, 2,312.70 and 1,298.20 is: 1,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.12 : 2,312.70 = 1,298.20 : x
  2. Step 2: Convert to fraction form
    1,540.12/2,312.70 = 1,298.20/x
  3. Step 3: Cross multiply
    1,540.12x = 2,312.70 × 1,298.20
  4. Step 4: Simplify right side
    1,540.12x = 3,002,347.14
  5. Step 5: Solve for x
    x = 3,002,347.14/1,540.12
  6. Step 6: Final answer
    x = 1,949.42

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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.