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Finding the Fourth Proportional to 2,110.29, 3,165.42 and 571.29

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Solution

The fourth proportional to 2,110.29, 3,165.42 and 571.29 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.29 : 3,165.42 = 571.29 : x
  2. Step 2: Convert to fraction form
    2,110.29/3,165.42 = 571.29/x
  3. Step 3: Cross multiply
    2,110.29x = 3,165.42 × 571.29
  4. Step 4: Simplify right side
    2,110.29x = 1,808,372.79
  5. Step 5: Solve for x
    x = 1,808,372.79/2,110.29
  6. Step 6: Final answer
    x = 856.93

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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.