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Finding the Fourth Proportional to 3,281.60, 4,921.28 and 1,894.40

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Solution

The fourth proportional to 3,281.60, 4,921.28 and 1,894.40 is: 2,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.60 : 4,921.28 = 1,894.40 : x
  2. Step 2: Convert to fraction form
    3,281.60/4,921.28 = 1,894.40/x
  3. Step 3: Cross multiply
    3,281.60x = 4,921.28 × 1,894.40
  4. Step 4: Simplify right side
    3,281.60x = 9,322,872.83
  5. Step 5: Solve for x
    x = 9,322,872.83/3,281.60
  6. Step 6: Final answer
    x = 2,840.95

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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.