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Finding the Fourth Proportional to 1,649.76, 2,276.66 and 903.76

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Solution

The fourth proportional to 1,649.76, 2,276.66 and 903.76 is: 1,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.76 : 2,276.66 = 903.76 : x
  2. Step 2: Convert to fraction form
    1,649.76/2,276.66 = 903.76/x
  3. Step 3: Cross multiply
    1,649.76x = 2,276.66 × 903.76
  4. Step 4: Simplify right side
    1,649.76x = 2,057,555.96
  5. Step 5: Solve for x
    x = 2,057,555.96/1,649.76
  6. Step 6: Final answer
    x = 1,247.19

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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.