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Finding the Fourth Proportional to 2,273.84, 3,411.20 and 887.12

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Solution

The fourth proportional to 2,273.84, 3,411.20 and 887.12 is: 1,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.84 : 3,411.20 = 887.12 : x
  2. Step 2: Convert to fraction form
    2,273.84/3,411.20 = 887.12/x
  3. Step 3: Cross multiply
    2,273.84x = 3,411.20 × 887.12
  4. Step 4: Simplify right side
    2,273.84x = 3,026,143.74
  5. Step 5: Solve for x
    x = 3,026,143.74/2,273.84
  6. Step 6: Final answer
    x = 1,330.85

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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.