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Finding the Fourth Proportional to 2,342.53, 3,503.46 and 2,084.35

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Solution

The fourth proportional to 2,342.53, 3,503.46 and 2,084.35 is: 3,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.53 : 3,503.46 = 2,084.35 : x
  2. Step 2: Convert to fraction form
    2,342.53/3,503.46 = 2,084.35/x
  3. Step 3: Cross multiply
    2,342.53x = 3,503.46 × 2,084.35
  4. Step 4: Simplify right side
    2,342.53x = 7,302,436.85
  5. Step 5: Solve for x
    x = 7,302,436.85/2,342.53
  6. Step 6: Final answer
    x = 3,117.33

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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.