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Finding the Fourth Proportional to 3,257, 4,494.66 and 1,859.75

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Solution

The fourth proportional to 3,257, 4,494.66 and 1,859.75 is: 2,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,494.66 = 1,859.75 : x
  2. Step 2: Convert to fraction form
    3,257/4,494.66 = 1,859.75/x
  3. Step 3: Cross multiply
    3,257x = 4,494.66 × 1,859.75
  4. Step 4: Simplify right side
    3,257x = 8,358,943.94
  5. Step 5: Solve for x
    x = 8,358,943.94/3,257
  6. Step 6: Final answer
    x = 2,566.46

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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.