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Finding the Fourth Proportional to 2,387.76, 3,581.84 and 926.80

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Solution

The fourth proportional to 2,387.76, 3,581.84 and 926.80 is: 1,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.76 : 3,581.84 = 926.80 : x
  2. Step 2: Convert to fraction form
    2,387.76/3,581.84 = 926.80/x
  3. Step 3: Cross multiply
    2,387.76x = 3,581.84 × 926.80
  4. Step 4: Simplify right side
    2,387.76x = 3,319,649.31
  5. Step 5: Solve for x
    x = 3,319,649.31/2,387.76
  6. Step 6: Final answer
    x = 1,390.28

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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.