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Finding the Fourth Proportional to 1,797.54, 2,709.18 and 1,697.06

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Solution

The fourth proportional to 1,797.54, 2,709.18 and 1,697.06 is: 2,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.54 : 2,709.18 = 1,697.06 : x
  2. Step 2: Convert to fraction form
    1,797.54/2,709.18 = 1,697.06/x
  3. Step 3: Cross multiply
    1,797.54x = 2,709.18 × 1,697.06
  4. Step 4: Simplify right side
    1,797.54x = 4,597,641.01
  5. Step 5: Solve for x
    x = 4,597,641.01/1,797.54
  6. Step 6: Final answer
    x = 2,557.74

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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.