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Finding the Fourth Proportional to 2,889, 4,317.60 and 2,110.62

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Solution

The fourth proportional to 2,889, 4,317.60 and 2,110.62 is: 3,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889 : 4,317.60 = 2,110.62 : x
  2. Step 2: Convert to fraction form
    2,889/4,317.60 = 2,110.62/x
  3. Step 3: Cross multiply
    2,889x = 4,317.60 × 2,110.62
  4. Step 4: Simplify right side
    2,889x = 9,112,812.91
  5. Step 5: Solve for x
    x = 9,112,812.91/2,889
  6. Step 6: Final answer
    x = 3,154.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.