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Finding the Fourth Proportional to 2,110.59, 3,166.25 and 941.02

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Solution

The fourth proportional to 2,110.59, 3,166.25 and 941.02 is: 1,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.59 : 3,166.25 = 941.02 : x
  2. Step 2: Convert to fraction form
    2,110.59/3,166.25 = 941.02/x
  3. Step 3: Cross multiply
    2,110.59x = 3,166.25 × 941.02
  4. Step 4: Simplify right side
    2,110.59x = 2,979,491.95
  5. Step 5: Solve for x
    x = 2,979,491.95/2,110.59
  6. Step 6: Final answer
    x = 1,411.69

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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.