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Finding the Fourth Proportional to 2,377.65, 3,566.86 and 733.82

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Solution

The fourth proportional to 2,377.65, 3,566.86 and 733.82 is: 1,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.65 : 3,566.86 = 733.82 : x
  2. Step 2: Convert to fraction form
    2,377.65/3,566.86 = 733.82/x
  3. Step 3: Cross multiply
    2,377.65x = 3,566.86 × 733.82
  4. Step 4: Simplify right side
    2,377.65x = 2,617,415.37
  5. Step 5: Solve for x
    x = 2,617,415.37/2,377.65
  6. Step 6: Final answer
    x = 1,100.84

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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.