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Finding the Fourth Proportional to 1,697.96, 2,542.69 and 1,390.57

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Solution

The fourth proportional to 1,697.96, 2,542.69 and 1,390.57 is: 2,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.96 : 2,542.69 = 1,390.57 : x
  2. Step 2: Convert to fraction form
    1,697.96/2,542.69 = 1,390.57/x
  3. Step 3: Cross multiply
    1,697.96x = 2,542.69 × 1,390.57
  4. Step 4: Simplify right side
    1,697.96x = 3,535,783.81
  5. Step 5: Solve for x
    x = 3,535,783.81/1,697.96
  6. Step 6: Final answer
    x = 2,082.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.