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Finding the Fourth Proportional to 2,350.44, 3,525.65 and 706.95

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Solution

The fourth proportional to 2,350.44, 3,525.65 and 706.95 is: 1,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.44 : 3,525.65 = 706.95 : x
  2. Step 2: Convert to fraction form
    2,350.44/3,525.65 = 706.95/x
  3. Step 3: Cross multiply
    2,350.44x = 3,525.65 × 706.95
  4. Step 4: Simplify right side
    2,350.44x = 2,492,454.73
  5. Step 5: Solve for x
    x = 2,492,454.73/2,350.44
  6. Step 6: Final answer
    x = 1,060.42

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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.