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Finding the Fourth Proportional to 1,633.47, 2,254.13 and 887.41

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Solution

The fourth proportional to 1,633.47, 2,254.13 and 887.41 is: 1,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.47 : 2,254.13 = 887.41 : x
  2. Step 2: Convert to fraction form
    1,633.47/2,254.13 = 887.41/x
  3. Step 3: Cross multiply
    1,633.47x = 2,254.13 × 887.41
  4. Step 4: Simplify right side
    1,633.47x = 2,000,337.50
  5. Step 5: Solve for x
    x = 2,000,337.50/1,633.47
  6. Step 6: Final answer
    x = 1,224.59

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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.