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Finding the Fourth Proportional to 2,465.93, 3,698.48 and 822.57

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Solution

The fourth proportional to 2,465.93, 3,698.48 and 822.57 is: 1,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.93 : 3,698.48 = 822.57 : x
  2. Step 2: Convert to fraction form
    2,465.93/3,698.48 = 822.57/x
  3. Step 3: Cross multiply
    2,465.93x = 3,698.48 × 822.57
  4. Step 4: Simplify right side
    2,465.93x = 3,042,254.58
  5. Step 5: Solve for x
    x = 3,042,254.58/2,465.93
  6. Step 6: Final answer
    x = 1,233.72

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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.