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Finding the Fourth Proportional to 1,649.66, 2,274.12 and 1,256.00

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Solution

The fourth proportional to 1,649.66, 2,274.12 and 1,256.00 is: 1,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.66 : 2,274.12 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    1,649.66/2,274.12 = 1,256.00/x
  3. Step 3: Cross multiply
    1,649.66x = 2,274.12 × 1,256.00
  4. Step 4: Simplify right side
    1,649.66x = 2,856,283.35
  5. Step 5: Solve for x
    x = 2,856,283.35/1,649.66
  6. Step 6: Final answer
    x = 1,731.44

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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.