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Finding the Fourth Proportional to 2,434.05, 3,651.02 and 1,652.10

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Solution

The fourth proportional to 2,434.05, 3,651.02 and 1,652.10 is: 2,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.05 : 3,651.02 = 1,652.10 : x
  2. Step 2: Convert to fraction form
    2,434.05/3,651.02 = 1,652.10/x
  3. Step 3: Cross multiply
    2,434.05x = 3,651.02 × 1,652.10
  4. Step 4: Simplify right side
    2,434.05x = 6,031,850.14
  5. Step 5: Solve for x
    x = 6,031,850.14/2,434.05
  6. Step 6: Final answer
    x = 2,478.11

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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.