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Finding the Fourth Proportional to 3,283, 4,925.94 and 1,915

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Solution

The fourth proportional to 3,283, 4,925.94 and 1,915 is: 2,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,925.94 = 1,915 : x
  2. Step 2: Convert to fraction form
    3,283/4,925.94 = 1,915/x
  3. Step 3: Cross multiply
    3,283x = 4,925.94 × 1,915
  4. Step 4: Simplify right side
    3,283x = 9,433,175.10
  5. Step 5: Solve for x
    x = 9,433,175.10/3,283
  6. Step 6: Final answer
    x = 2,873.34

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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.