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Finding the Fourth Proportional to 2,246.10, 3,366.84 and 784.26

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Solution

The fourth proportional to 2,246.10, 3,366.84 and 784.26 is: 1,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.10 : 3,366.84 = 784.26 : x
  2. Step 2: Convert to fraction form
    2,246.10/3,366.84 = 784.26/x
  3. Step 3: Cross multiply
    2,246.10x = 3,366.84 × 784.26
  4. Step 4: Simplify right side
    2,246.10x = 2,640,477.94
  5. Step 5: Solve for x
    x = 2,640,477.94/2,246.10
  6. Step 6: Final answer
    x = 1,175.58

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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.