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Finding the Fourth Proportional to 3,204.66, 4,422.51 and 1,807.50

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Solution

The fourth proportional to 3,204.66, 4,422.51 and 1,807.50 is: 2,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.66 : 4,422.51 = 1,807.50 : x
  2. Step 2: Convert to fraction form
    3,204.66/4,422.51 = 1,807.50/x
  3. Step 3: Cross multiply
    3,204.66x = 4,422.51 × 1,807.50
  4. Step 4: Simplify right side
    3,204.66x = 7,993,686.83
  5. Step 5: Solve for x
    x = 7,993,686.83/3,204.66
  6. Step 6: Final answer
    x = 2,494.39

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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.