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Finding the Fourth Proportional to 2,297.60, 3,168 and 1,925.12

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Solution

The fourth proportional to 2,297.60, 3,168 and 1,925.12 is: 2,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.60 : 3,168 = 1,925.12 : x
  2. Step 2: Convert to fraction form
    2,297.60/3,168 = 1,925.12/x
  3. Step 3: Cross multiply
    2,297.60x = 3,168 × 1,925.12
  4. Step 4: Simplify right side
    2,297.60x = 6,098,780.16
  5. Step 5: Solve for x
    x = 6,098,780.16/2,297.60
  6. Step 6: Final answer
    x = 2,654.41

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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.