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Finding the Fourth Proportional to 1,649.24, 2,275.97 and 903.18

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Solution

The fourth proportional to 1,649.24, 2,275.97 and 903.18 is: 1,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.24 : 2,275.97 = 903.18 : x
  2. Step 2: Convert to fraction form
    1,649.24/2,275.97 = 903.18/x
  3. Step 3: Cross multiply
    1,649.24x = 2,275.97 × 903.18
  4. Step 4: Simplify right side
    1,649.24x = 2,055,610.58
  5. Step 5: Solve for x
    x = 2,055,610.58/1,649.24
  6. Step 6: Final answer
    x = 1,246.40

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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.