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Finding the Fourth Proportional to 2,146.09, 3,218.33 and 914.08

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Solution

The fourth proportional to 2,146.09, 3,218.33 and 914.08 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.09 : 3,218.33 = 914.08 : x
  2. Step 2: Convert to fraction form
    2,146.09/3,218.33 = 914.08/x
  3. Step 3: Cross multiply
    2,146.09x = 3,218.33 × 914.08
  4. Step 4: Simplify right side
    2,146.09x = 2,941,806.52
  5. Step 5: Solve for x
    x = 2,941,806.52/2,146.09
  6. Step 6: Final answer
    x = 1,370.77

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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.