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Finding the Fourth Proportional to 2,987.34, 4,122.60 and 1,643

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Solution

The fourth proportional to 2,987.34, 4,122.60 and 1,643 is: 2,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.34 : 4,122.60 = 1,643 : x
  2. Step 2: Convert to fraction form
    2,987.34/4,122.60 = 1,643/x
  3. Step 3: Cross multiply
    2,987.34x = 4,122.60 × 1,643
  4. Step 4: Simplify right side
    2,987.34x = 6,773,431.80
  5. Step 5: Solve for x
    x = 6,773,431.80/2,987.34
  6. Step 6: Final answer
    x = 2,267.38

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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.