Home / 1,649.45-2,276.28-941.28

Finding the Fourth Proportional to 1,649.45, 2,276.28 and 941.28

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Solution

The fourth proportional to 1,649.45, 2,276.28 and 941.28 is: 1,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.45 : 2,276.28 = 941.28 : x
  2. Step 2: Convert to fraction form
    1,649.45/2,276.28 = 941.28/x
  3. Step 3: Cross multiply
    1,649.45x = 2,276.28 × 941.28
  4. Step 4: Simplify right side
    1,649.45x = 2,142,618.54
  5. Step 5: Solve for x
    x = 2,142,618.54/1,649.45
  6. Step 6: Final answer
    x = 1,298.99

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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.