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Finding the Fourth Proportional to 1,697.81, 2,340 and 1,461.17

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Solution

The fourth proportional to 1,697.81, 2,340 and 1,461.17 is: 2,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.81 : 2,340 = 1,461.17 : x
  2. Step 2: Convert to fraction form
    1,697.81/2,340 = 1,461.17/x
  3. Step 3: Cross multiply
    1,697.81x = 2,340 × 1,461.17
  4. Step 4: Simplify right side
    1,697.81x = 3,419,137.80
  5. Step 5: Solve for x
    x = 3,419,137.80/1,697.81
  6. Step 6: Final answer
    x = 2,013.85

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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.