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Finding the Fourth Proportional to 2,444, 3,656.82 and 1,715

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Solution

The fourth proportional to 2,444, 3,656.82 and 1,715 is: 2,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444 : 3,656.82 = 1,715 : x
  2. Step 2: Convert to fraction form
    2,444/3,656.82 = 1,715/x
  3. Step 3: Cross multiply
    2,444x = 3,656.82 × 1,715
  4. Step 4: Simplify right side
    2,444x = 6,271,446.30
  5. Step 5: Solve for x
    x = 6,271,446.30/2,444
  6. Step 6: Final answer
    x = 2,566.06

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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.