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Finding the Fourth Proportional to 2,431.02, 3,647.06 and 699.50

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Solution

The fourth proportional to 2,431.02, 3,647.06 and 699.50 is: 1,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.02 : 3,647.06 = 699.50 : x
  2. Step 2: Convert to fraction form
    2,431.02/3,647.06 = 699.50/x
  3. Step 3: Cross multiply
    2,431.02x = 3,647.06 × 699.50
  4. Step 4: Simplify right side
    2,431.02x = 2,551,118.47
  5. Step 5: Solve for x
    x = 2,551,118.47/2,431.02
  6. Step 6: Final answer
    x = 1,049.40

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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.