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Finding the Fourth Proportional to 1,667.09, 2,499.78 and 571.16

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Solution

The fourth proportional to 1,667.09, 2,499.78 and 571.16 is: 856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.09 : 2,499.78 = 571.16 : x
  2. Step 2: Convert to fraction form
    1,667.09/2,499.78 = 571.16/x
  3. Step 3: Cross multiply
    1,667.09x = 2,499.78 × 571.16
  4. Step 4: Simplify right side
    1,667.09x = 1,427,774.34
  5. Step 5: Solve for x
    x = 1,427,774.34/1,667.09
  6. Step 6: Final answer
    x = 856.45

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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.