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Finding the Fourth Proportional to 2,531, 3,797.14 and 707

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Solution

The fourth proportional to 2,531, 3,797.14 and 707 is: 1,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531 : 3,797.14 = 707 : x
  2. Step 2: Convert to fraction form
    2,531/3,797.14 = 707/x
  3. Step 3: Cross multiply
    2,531x = 3,797.14 × 707
  4. Step 4: Simplify right side
    2,531x = 2,684,577.98
  5. Step 5: Solve for x
    x = 2,684,577.98/2,531
  6. Step 6: Final answer
    x = 1,060.68

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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.