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Finding the Fourth Proportional to 3,078, 4,618.35 and 1,616.81

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Solution

The fourth proportional to 3,078, 4,618.35 and 1,616.81 is: 2,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,618.35 = 1,616.81 : x
  2. Step 2: Convert to fraction form
    3,078/4,618.35 = 1,616.81/x
  3. Step 3: Cross multiply
    3,078x = 4,618.35 × 1,616.81
  4. Step 4: Simplify right side
    3,078x = 7,466,994.46
  5. Step 5: Solve for x
    x = 7,466,994.46/3,078
  6. Step 6: Final answer
    x = 2,425.92

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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.