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Finding the Fourth Proportional to 2,410, 3,616.62 and 871

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Solution

The fourth proportional to 2,410, 3,616.62 and 871 is: 1,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410 : 3,616.62 = 871 : x
  2. Step 2: Convert to fraction form
    2,410/3,616.62 = 871/x
  3. Step 3: Cross multiply
    2,410x = 3,616.62 × 871
  4. Step 4: Simplify right side
    2,410x = 3,150,076.02
  5. Step 5: Solve for x
    x = 3,150,076.02/2,410
  6. Step 6: Final answer
    x = 1,307.09

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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.