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Finding the Fourth Proportional to 2,263.02, 3,393.96 and 702.72

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Solution

The fourth proportional to 2,263.02, 3,393.96 and 702.72 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.02 : 3,393.96 = 702.72 : x
  2. Step 2: Convert to fraction form
    2,263.02/3,393.96 = 702.72/x
  3. Step 3: Cross multiply
    2,263.02x = 3,393.96 × 702.72
  4. Step 4: Simplify right side
    2,263.02x = 2,385,003.57
  5. Step 5: Solve for x
    x = 2,385,003.57/2,263.02
  6. Step 6: Final answer
    x = 1,053.90

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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.