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Finding the Fourth Proportional to 2,109.88, 3,164.82 and 570.88

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Solution

The fourth proportional to 2,109.88, 3,164.82 and 570.88 is: 856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.88 : 3,164.82 = 570.88 : x
  2. Step 2: Convert to fraction form
    2,109.88/3,164.82 = 570.88/x
  3. Step 3: Cross multiply
    2,109.88x = 3,164.82 × 570.88
  4. Step 4: Simplify right side
    2,109.88x = 1,806,713.76
  5. Step 5: Solve for x
    x = 1,806,713.76/2,109.88
  6. Step 6: Final answer
    x = 856.31

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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.