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Finding the Fourth Proportional to 1,775.89, 2,447.85 and 1,402.21

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Solution

The fourth proportional to 1,775.89, 2,447.85 and 1,402.21 is: 1,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.89 : 2,447.85 = 1,402.21 : x
  2. Step 2: Convert to fraction form
    1,775.89/2,447.85 = 1,402.21/x
  3. Step 3: Cross multiply
    1,775.89x = 2,447.85 × 1,402.21
  4. Step 4: Simplify right side
    1,775.89x = 3,432,399.75
  5. Step 5: Solve for x
    x = 3,432,399.75/1,775.89
  6. Step 6: Final answer
    x = 1,932.78

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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.