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Finding the Fourth Proportional to 2,444, 3,666.02 and 712.64

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Solution

The fourth proportional to 2,444, 3,666.02 and 712.64 is: 1,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444 : 3,666.02 = 712.64 : x
  2. Step 2: Convert to fraction form
    2,444/3,666.02 = 712.64/x
  3. Step 3: Cross multiply
    2,444x = 3,666.02 × 712.64
  4. Step 4: Simplify right side
    2,444x = 2,612,552.49
  5. Step 5: Solve for x
    x = 2,612,552.49/2,444
  6. Step 6: Final answer
    x = 1,068.97

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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.