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Finding the Fourth Proportional to 2,110.30, 3,165.45 and 571.30

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Solution

The fourth proportional to 2,110.30, 3,165.45 and 571.30 is: 856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.30 : 3,165.45 = 571.30 : x
  2. Step 2: Convert to fraction form
    2,110.30/3,165.45 = 571.30/x
  3. Step 3: Cross multiply
    2,110.30x = 3,165.45 × 571.30
  4. Step 4: Simplify right side
    2,110.30x = 1,808,402.90
  5. Step 5: Solve for x
    x = 1,808,402.90/2,110.30
  6. Step 6: Final answer
    x = 856.94

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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.