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Finding the Fourth Proportional to 2,702.05, 3,728.83 and 1,460.05

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Solution

The fourth proportional to 2,702.05, 3,728.83 and 1,460.05 is: 2,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.05 : 3,728.83 = 1,460.05 : x
  2. Step 2: Convert to fraction form
    2,702.05/3,728.83 = 1,460.05/x
  3. Step 3: Cross multiply
    2,702.05x = 3,728.83 × 1,460.05
  4. Step 4: Simplify right side
    2,702.05x = 5,444,252.30
  5. Step 5: Solve for x
    x = 5,444,252.30/2,702.05
  6. Step 6: Final answer
    x = 2,014.86

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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.