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Finding the Fourth Proportional to 2,535.96, 3,498.35 and 1,696.70

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Solution

The fourth proportional to 2,535.96, 3,498.35 and 1,696.70 is: 2,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.96 : 3,498.35 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    2,535.96/3,498.35 = 1,696.70/x
  3. Step 3: Cross multiply
    2,535.96x = 3,498.35 × 1,696.70
  4. Step 4: Simplify right side
    2,535.96x = 5,935,650.45
  5. Step 5: Solve for x
    x = 5,935,650.45/2,535.96
  6. Step 6: Final answer
    x = 2,340.59

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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.