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Finding the Fourth Proportional to 2,109.29, 3,164.54 and 876.47

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Solution

The fourth proportional to 2,109.29, 3,164.54 and 876.47 is: 1,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.29 : 3,164.54 = 876.47 : x
  2. Step 2: Convert to fraction form
    2,109.29/3,164.54 = 876.47/x
  3. Step 3: Cross multiply
    2,109.29x = 3,164.54 × 876.47
  4. Step 4: Simplify right side
    2,109.29x = 2,773,610.74
  5. Step 5: Solve for x
    x = 2,773,610.74/2,109.29
  6. Step 6: Final answer
    x = 1,314.95

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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.