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Finding the Fourth Proportional to 2,146.71, 3,219.93 and 913.35

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Solution

The fourth proportional to 2,146.71, 3,219.93 and 913.35 is: 1,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.71 : 3,219.93 = 913.35 : x
  2. Step 2: Convert to fraction form
    2,146.71/3,219.93 = 913.35/x
  3. Step 3: Cross multiply
    2,146.71x = 3,219.93 × 913.35
  4. Step 4: Simplify right side
    2,146.71x = 2,940,923.07
  5. Step 5: Solve for x
    x = 2,940,923.07/2,146.71
  6. Step 6: Final answer
    x = 1,369.97

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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.