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Finding the Fourth Proportional to 1,929.80, 2,888.30 and 1,353.80

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Solution

The fourth proportional to 1,929.80, 2,888.30 and 1,353.80 is: 2,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.80 : 2,888.30 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    1,929.80/2,888.30 = 1,353.80/x
  3. Step 3: Cross multiply
    1,929.80x = 2,888.30 × 1,353.80
  4. Step 4: Simplify right side
    1,929.80x = 3,910,180.54
  5. Step 5: Solve for x
    x = 3,910,180.54/1,929.80
  6. Step 6: Final answer
    x = 2,026.21

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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.