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Finding the Fourth Proportional to 2,605.18, 3,902.29 and 1,901.93

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Solution

The fourth proportional to 2,605.18, 3,902.29 and 1,901.93 is: 2,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.18 : 3,902.29 = 1,901.93 : x
  2. Step 2: Convert to fraction form
    2,605.18/3,902.29 = 1,901.93/x
  3. Step 3: Cross multiply
    2,605.18x = 3,902.29 × 1,901.93
  4. Step 4: Simplify right side
    2,605.18x = 7,421,890.80
  5. Step 5: Solve for x
    x = 7,421,890.80/2,605.18
  6. Step 6: Final answer
    x = 2,848.90

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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.