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Finding the Fourth Proportional to 2,812.03, 4,218.71 and 963.16

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Solution

The fourth proportional to 2,812.03, 4,218.71 and 963.16 is: 1,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.03 : 4,218.71 = 963.16 : x
  2. Step 2: Convert to fraction form
    2,812.03/4,218.71 = 963.16/x
  3. Step 3: Cross multiply
    2,812.03x = 4,218.71 × 963.16
  4. Step 4: Simplify right side
    2,812.03x = 4,063,292.72
  5. Step 5: Solve for x
    x = 4,063,292.72/2,812.03
  6. Step 6: Final answer
    x = 1,444.97

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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.