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Finding the Fourth Proportional to 2,264.95, 3,396.24 and 1,340.80

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Solution

The fourth proportional to 2,264.95, 3,396.24 and 1,340.80 is: 2,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.95 : 3,396.24 = 1,340.80 : x
  2. Step 2: Convert to fraction form
    2,264.95/3,396.24 = 1,340.80/x
  3. Step 3: Cross multiply
    2,264.95x = 3,396.24 × 1,340.80
  4. Step 4: Simplify right side
    2,264.95x = 4,553,661.61
  5. Step 5: Solve for x
    x = 4,553,661.61/2,264.95
  6. Step 6: Final answer
    x = 2,010.50

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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.