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Finding the Fourth Proportional to 2,262.10, 3,392.09 and 876.09

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Solution

The fourth proportional to 2,262.10, 3,392.09 and 876.09 is: 1,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.10 : 3,392.09 = 876.09 : x
  2. Step 2: Convert to fraction form
    2,262.10/3,392.09 = 876.09/x
  3. Step 3: Cross multiply
    2,262.10x = 3,392.09 × 876.09
  4. Step 4: Simplify right side
    2,262.10x = 2,971,776.13
  5. Step 5: Solve for x
    x = 2,971,776.13/2,262.10
  6. Step 6: Final answer
    x = 1,313.72

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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.