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Finding the Fourth Proportional to 2,650.34, 3,975.60 and 702.74

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Solution

The fourth proportional to 2,650.34, 3,975.60 and 702.74 is: 1,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.34 : 3,975.60 = 702.74 : x
  2. Step 2: Convert to fraction form
    2,650.34/3,975.60 = 702.74/x
  3. Step 3: Cross multiply
    2,650.34x = 3,975.60 × 702.74
  4. Step 4: Simplify right side
    2,650.34x = 2,793,813.14
  5. Step 5: Solve for x
    x = 2,793,813.14/2,650.34
  6. Step 6: Final answer
    x = 1,054.13

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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.