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Finding the Fourth Proportional to 1,578.20, 2,363.70 and 930.20

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Solution

The fourth proportional to 1,578.20, 2,363.70 and 930.20 is: 1,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.20 : 2,363.70 = 930.20 : x
  2. Step 2: Convert to fraction form
    1,578.20/2,363.70 = 930.20/x
  3. Step 3: Cross multiply
    1,578.20x = 2,363.70 × 930.20
  4. Step 4: Simplify right side
    1,578.20x = 2,198,713.74
  5. Step 5: Solve for x
    x = 2,198,713.74/1,578.20
  6. Step 6: Final answer
    x = 1,393.18

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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.