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Finding the Fourth Proportional to 2,002.16, 3,001.08 and 1,786.16

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Solution

The fourth proportional to 2,002.16, 3,001.08 and 1,786.16 is: 2,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.16 : 3,001.08 = 1,786.16 : x
  2. Step 2: Convert to fraction form
    2,002.16/3,001.08 = 1,786.16/x
  3. Step 3: Cross multiply
    2,002.16x = 3,001.08 × 1,786.16
  4. Step 4: Simplify right side
    2,002.16x = 5,360,409.05
  5. Step 5: Solve for x
    x = 5,360,409.05/2,002.16
  6. Step 6: Final answer
    x = 2,677.31

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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.