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Finding the Fourth Proportional to 2,426.66, 3,639.53 and 783.22

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Solution

The fourth proportional to 2,426.66, 3,639.53 and 783.22 is: 1,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.66 : 3,639.53 = 783.22 : x
  2. Step 2: Convert to fraction form
    2,426.66/3,639.53 = 783.22/x
  3. Step 3: Cross multiply
    2,426.66x = 3,639.53 × 783.22
  4. Step 4: Simplify right side
    2,426.66x = 2,850,552.37
  5. Step 5: Solve for x
    x = 2,850,552.37/2,426.66
  6. Step 6: Final answer
    x = 1,174.68

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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.