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Finding the Fourth Proportional to 1,799.54, 2,712.20 and 1,699.06

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Solution

The fourth proportional to 1,799.54, 2,712.20 and 1,699.06 is: 2,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.54 : 2,712.20 = 1,699.06 : x
  2. Step 2: Convert to fraction form
    1,799.54/2,712.20 = 1,699.06/x
  3. Step 3: Cross multiply
    1,799.54x = 2,712.20 × 1,699.06
  4. Step 4: Simplify right side
    1,799.54x = 4,608,190.53
  5. Step 5: Solve for x
    x = 4,608,190.53/1,799.54
  6. Step 6: Final answer
    x = 2,560.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.