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Finding the Fourth Proportional to 2,235.10, 3,352.65 and 1,902.95

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Solution

The fourth proportional to 2,235.10, 3,352.65 and 1,902.95 is: 2,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.10 : 3,352.65 = 1,902.95 : x
  2. Step 2: Convert to fraction form
    2,235.10/3,352.65 = 1,902.95/x
  3. Step 3: Cross multiply
    2,235.10x = 3,352.65 × 1,902.95
  4. Step 4: Simplify right side
    2,235.10x = 6,379,904.07
  5. Step 5: Solve for x
    x = 6,379,904.07/2,235.10
  6. Step 6: Final answer
    x = 2,854.42

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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.