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Finding the Fourth Proportional to 1,667.84, 2,502.66 and 1,406.60

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Solution

The fourth proportional to 1,667.84, 2,502.66 and 1,406.60 is: 2,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.84 : 2,502.66 = 1,406.60 : x
  2. Step 2: Convert to fraction form
    1,667.84/2,502.66 = 1,406.60/x
  3. Step 3: Cross multiply
    1,667.84x = 2,502.66 × 1,406.60
  4. Step 4: Simplify right side
    1,667.84x = 3,520,241.56
  5. Step 5: Solve for x
    x = 3,520,241.56/1,667.84
  6. Step 6: Final answer
    x = 2,110.66

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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.