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Finding the Fourth Proportional to 1,798.42, 2,697.63 and 1,028.38

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Solution

The fourth proportional to 1,798.42, 2,697.63 and 1,028.38 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.42 : 2,697.63 = 1,028.38 : x
  2. Step 2: Convert to fraction form
    1,798.42/2,697.63 = 1,028.38/x
  3. Step 3: Cross multiply
    1,798.42x = 2,697.63 × 1,028.38
  4. Step 4: Simplify right side
    1,798.42x = 2,774,170.11
  5. Step 5: Solve for x
    x = 2,774,170.11/1,798.42
  6. Step 6: Final answer
    x = 1,542.56

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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.