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Finding the Fourth Proportional to 2,844.16, 4,264.68 and 895.84

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Solution

The fourth proportional to 2,844.16, 4,264.68 and 895.84 is: 1,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.16 : 4,264.68 = 895.84 : x
  2. Step 2: Convert to fraction form
    2,844.16/4,264.68 = 895.84/x
  3. Step 3: Cross multiply
    2,844.16x = 4,264.68 × 895.84
  4. Step 4: Simplify right side
    2,844.16x = 3,820,470.93
  5. Step 5: Solve for x
    x = 3,820,470.93/2,844.16
  6. Step 6: Final answer
    x = 1,343.27

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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.