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Finding the Fourth Proportional to 3,315.14, 4,574.71 and 1,822.82

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Solution

The fourth proportional to 3,315.14, 4,574.71 and 1,822.82 is: 2,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.14 : 4,574.71 = 1,822.82 : x
  2. Step 2: Convert to fraction form
    3,315.14/4,574.71 = 1,822.82/x
  3. Step 3: Cross multiply
    3,315.14x = 4,574.71 × 1,822.82
  4. Step 4: Simplify right side
    3,315.14x = 8,338,845.45
  5. Step 5: Solve for x
    x = 8,338,845.45/3,315.14
  6. Step 6: Final answer
    x = 2,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.