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Finding the Fourth Proportional to 4,602.78, 6,902.73 and 2,005.02

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Solution

The fourth proportional to 4,602.78, 6,902.73 and 2,005.02 is: 3,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.78 : 6,902.73 = 2,005.02 : x
  2. Step 2: Convert to fraction form
    4,602.78/6,902.73 = 2,005.02/x
  3. Step 3: Cross multiply
    4,602.78x = 6,902.73 × 2,005.02
  4. Step 4: Simplify right side
    4,602.78x = 13,840,111.70
  5. Step 5: Solve for x
    x = 13,840,111.70/4,602.78
  6. Step 6: Final answer
    x = 3,006.90

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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.