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Finding the Fourth Proportional to 2,663.26, 3,994.34 and 715

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Solution

The fourth proportional to 2,663.26, 3,994.34 and 715 is: 1,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.26 : 3,994.34 = 715 : x
  2. Step 2: Convert to fraction form
    2,663.26/3,994.34 = 715/x
  3. Step 3: Cross multiply
    2,663.26x = 3,994.34 × 715
  4. Step 4: Simplify right side
    2,663.26x = 2,855,953.10
  5. Step 5: Solve for x
    x = 2,855,953.10/2,663.26
  6. Step 6: Final answer
    x = 1,072.35

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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.