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Finding the Fourth Proportional to 2,496.75, 3,737.19 and 2,030.58

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Solution

The fourth proportional to 2,496.75, 3,737.19 and 2,030.58 is: 3,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.75 : 3,737.19 = 2,030.58 : x
  2. Step 2: Convert to fraction form
    2,496.75/3,737.19 = 2,030.58/x
  3. Step 3: Cross multiply
    2,496.75x = 3,737.19 × 2,030.58
  4. Step 4: Simplify right side
    2,496.75x = 7,588,663.27
  5. Step 5: Solve for x
    x = 7,588,663.27/2,496.75
  6. Step 6: Final answer
    x = 3,039.42

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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.