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Finding the Fourth Proportional to 2,503.07, 3,733.46 and 2,358.53

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Solution

The fourth proportional to 2,503.07, 3,733.46 and 2,358.53 is: 3,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.07 : 3,733.46 = 2,358.53 : x
  2. Step 2: Convert to fraction form
    2,503.07/3,733.46 = 2,358.53/x
  3. Step 3: Cross multiply
    2,503.07x = 3,733.46 × 2,358.53
  4. Step 4: Simplify right side
    2,503.07x = 8,805,465.62
  5. Step 5: Solve for x
    x = 8,805,465.62/2,503.07
  6. Step 6: Final answer
    x = 3,517.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.