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Finding the Fourth Proportional to 1,667.98, 2,502.51 and 694.18

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Solution

The fourth proportional to 1,667.98, 2,502.51 and 694.18 is: 1,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.98 : 2,502.51 = 694.18 : x
  2. Step 2: Convert to fraction form
    1,667.98/2,502.51 = 694.18/x
  3. Step 3: Cross multiply
    1,667.98x = 2,502.51 × 694.18
  4. Step 4: Simplify right side
    1,667.98x = 1,737,192.39
  5. Step 5: Solve for x
    x = 1,737,192.39/1,667.98
  6. Step 6: Final answer
    x = 1,041.49

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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.