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Finding the Fourth Proportional to 2,702.02, 3,729.36 and 1,706.66

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Solution

The fourth proportional to 2,702.02, 3,729.36 and 1,706.66 is: 2,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.02 : 3,729.36 = 1,706.66 : x
  2. Step 2: Convert to fraction form
    2,702.02/3,729.36 = 1,706.66/x
  3. Step 3: Cross multiply
    2,702.02x = 3,729.36 × 1,706.66
  4. Step 4: Simplify right side
    2,702.02x = 6,364,765.26
  5. Step 5: Solve for x
    x = 6,364,765.26/2,702.02
  6. Step 6: Final answer
    x = 2,355.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.