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Finding the Fourth Proportional to 1,646.49, 2,283.83 and 1,587.39

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Solution

The fourth proportional to 1,646.49, 2,283.83 and 1,587.39 is: 2,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.49 : 2,283.83 = 1,587.39 : x
  2. Step 2: Convert to fraction form
    1,646.49/2,283.83 = 1,587.39/x
  3. Step 3: Cross multiply
    1,646.49x = 2,283.83 × 1,587.39
  4. Step 4: Simplify right side
    1,646.49x = 3,625,320.97
  5. Step 5: Solve for x
    x = 3,625,320.97/1,646.49
  6. Step 6: Final answer
    x = 2,201.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.