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Finding the Fourth Proportional to 2,281.60, 3,420.20 and 894.47

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Solution

The fourth proportional to 2,281.60, 3,420.20 and 894.47 is: 1,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.60 : 3,420.20 = 894.47 : x
  2. Step 2: Convert to fraction form
    2,281.60/3,420.20 = 894.47/x
  3. Step 3: Cross multiply
    2,281.60x = 3,420.20 × 894.47
  4. Step 4: Simplify right side
    2,281.60x = 3,059,277.08
  5. Step 5: Solve for x
    x = 3,059,277.08/2,281.60
  6. Step 6: Final answer
    x = 1,340.85

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1.5x scale

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.