Home / 1,508.40-2,082.60-919.44

Finding the Fourth Proportional to 1,508.40, 2,082.60 and 919.44

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Solution

The fourth proportional to 1,508.40, 2,082.60 and 919.44 is: 1,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.40 : 2,082.60 = 919.44 : x
  2. Step 2: Convert to fraction form
    1,508.40/2,082.60 = 919.44/x
  3. Step 3: Cross multiply
    1,508.40x = 2,082.60 × 919.44
  4. Step 4: Simplify right side
    1,508.40x = 1,914,825.74
  5. Step 5: Solve for x
    x = 1,914,825.74/1,508.40
  6. Step 6: Final answer
    x = 1,269.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.