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Finding the Fourth Proportional to 1,699.57, 2,535.24 and 1,671.38

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Solution

The fourth proportional to 1,699.57, 2,535.24 and 1,671.38 is: 2,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.57 : 2,535.24 = 1,671.38 : x
  2. Step 2: Convert to fraction form
    1,699.57/2,535.24 = 1,671.38/x
  3. Step 3: Cross multiply
    1,699.57x = 2,535.24 × 1,671.38
  4. Step 4: Simplify right side
    1,699.57x = 4,237,344.34
  5. Step 5: Solve for x
    x = 4,237,344.34/1,699.57
  6. Step 6: Final answer
    x = 2,493.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.