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Finding the Fourth Proportional to 2,650.59, 3,975.89 and 702.95

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Solution

The fourth proportional to 2,650.59, 3,975.89 and 702.95 is: 1,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.59 : 3,975.89 = 702.95 : x
  2. Step 2: Convert to fraction form
    2,650.59/3,975.89 = 702.95/x
  3. Step 3: Cross multiply
    2,650.59x = 3,975.89 × 702.95
  4. Step 4: Simplify right side
    2,650.59x = 2,794,828.48
  5. Step 5: Solve for x
    x = 2,794,828.48/2,650.59
  6. Step 6: Final answer
    x = 1,054.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.