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Finding the Fourth Proportional to 2,110.14, 3,164.38 and 876.72

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Solution

The fourth proportional to 2,110.14, 3,164.38 and 876.72 is: 1,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.14 : 3,164.38 = 876.72 : x
  2. Step 2: Convert to fraction form
    2,110.14/3,164.38 = 876.72/x
  3. Step 3: Cross multiply
    2,110.14x = 3,164.38 × 876.72
  4. Step 4: Simplify right side
    2,110.14x = 2,774,275.23
  5. Step 5: Solve for x
    x = 2,774,275.23/2,110.14
  6. Step 6: Final answer
    x = 1,314.74

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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.