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Finding the Fourth Proportional to 1,667.69, 2,502.14 and 693.87

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Solution

The fourth proportional to 1,667.69, 2,502.14 and 693.87 is: 1,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.69 : 2,502.14 = 693.87 : x
  2. Step 2: Convert to fraction form
    1,667.69/2,502.14 = 693.87/x
  3. Step 3: Cross multiply
    1,667.69x = 2,502.14 × 693.87
  4. Step 4: Simplify right side
    1,667.69x = 1,736,150.93
  5. Step 5: Solve for x
    x = 1,736,150.93/1,667.69
  6. Step 6: Final answer
    x = 1,041.05

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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.