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Finding the Fourth Proportional to 2,176.60, 3,287.05 and 2,176.60

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Solution

The fourth proportional to 2,176.60, 3,287.05 and 2,176.60 is: 3,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.60 : 3,287.05 = 2,176.60 : x
  2. Step 2: Convert to fraction form
    2,176.60/3,287.05 = 2,176.60/x
  3. Step 3: Cross multiply
    2,176.60x = 3,287.05 × 2,176.60
  4. Step 4: Simplify right side
    2,176.60x = 7,154,593.03
  5. Step 5: Solve for x
    x = 7,154,593.03/2,176.60
  6. Step 6: Final answer
    x = 3,287.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.