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Finding the Fourth Proportional to 1,641.84, 2,266.56 and 1,199.58

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Solution

The fourth proportional to 1,641.84, 2,266.56 and 1,199.58 is: 1,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.84 : 2,266.56 = 1,199.58 : x
  2. Step 2: Convert to fraction form
    1,641.84/2,266.56 = 1,199.58/x
  3. Step 3: Cross multiply
    1,641.84x = 2,266.56 × 1,199.58
  4. Step 4: Simplify right side
    1,641.84x = 2,718,920.04
  5. Step 5: Solve for x
    x = 2,718,920.04/1,641.84
  6. Step 6: Final answer
    x = 1,656.02

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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.