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Finding the Fourth Proportional to 3,101.60, 4,657.80 and 1,643.60

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Solution

The fourth proportional to 3,101.60, 4,657.80 and 1,643.60 is: 2,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,657.80 = 1,643.60 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,657.80 = 1,643.60/x
  3. Step 3: Cross multiply
    3,101.60x = 4,657.80 × 1,643.60
  4. Step 4: Simplify right side
    3,101.60x = 7,655,560.08
  5. Step 5: Solve for x
    x = 7,655,560.08/3,101.60
  6. Step 6: Final answer
    x = 2,468.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.