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Finding the Fourth Proportional to 2,392.80, 3,302.04 and 1,398.24

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Solution

The fourth proportional to 2,392.80, 3,302.04 and 1,398.24 is: 1,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.80 : 3,302.04 = 1,398.24 : x
  2. Step 2: Convert to fraction form
    2,392.80/3,302.04 = 1,398.24/x
  3. Step 3: Cross multiply
    2,392.80x = 3,302.04 × 1,398.24
  4. Step 4: Simplify right side
    2,392.80x = 4,617,044.41
  5. Step 5: Solve for x
    x = 4,617,044.41/2,392.80
  6. Step 6: Final answer
    x = 1,929.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.