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Finding the Fourth Proportional to 1,649.61, 2,276.51 and 903.62

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Solution

The fourth proportional to 1,649.61, 2,276.51 and 903.62 is: 1,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.61 : 2,276.51 = 903.62 : x
  2. Step 2: Convert to fraction form
    1,649.61/2,276.51 = 903.62/x
  3. Step 3: Cross multiply
    1,649.61x = 2,276.51 × 903.62
  4. Step 4: Simplify right side
    1,649.61x = 2,057,099.97
  5. Step 5: Solve for x
    x = 2,057,099.97/1,649.61
  6. Step 6: Final answer
    x = 1,247.02

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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.