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Finding the Fourth Proportional to 2,426.78, 3,640.65 and 783.74

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Solution

The fourth proportional to 2,426.78, 3,640.65 and 783.74 is: 1,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.78 : 3,640.65 = 783.74 : x
  2. Step 2: Convert to fraction form
    2,426.78/3,640.65 = 783.74/x
  3. Step 3: Cross multiply
    2,426.78x = 3,640.65 × 783.74
  4. Step 4: Simplify right side
    2,426.78x = 2,853,323.03
  5. Step 5: Solve for x
    x = 2,853,323.03/2,426.78
  6. Step 6: Final answer
    x = 1,175.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.