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Finding the Fourth Proportional to 3,045.69, 4,569.21 and 965.82

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Solution

The fourth proportional to 3,045.69, 4,569.21 and 965.82 is: 1,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.69 : 4,569.21 = 965.82 : x
  2. Step 2: Convert to fraction form
    3,045.69/4,569.21 = 965.82/x
  3. Step 3: Cross multiply
    3,045.69x = 4,569.21 × 965.82
  4. Step 4: Simplify right side
    3,045.69x = 4,413,020.56
  5. Step 5: Solve for x
    x = 4,413,020.56/3,045.69
  6. Step 6: Final answer
    x = 1,448.94

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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.