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Finding the Fourth Proportional to 2,493.51, 3,740.29 and 1,194.67

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Solution

The fourth proportional to 2,493.51, 3,740.29 and 1,194.67 is: 1,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.51 : 3,740.29 = 1,194.67 : x
  2. Step 2: Convert to fraction form
    2,493.51/3,740.29 = 1,194.67/x
  3. Step 3: Cross multiply
    2,493.51x = 3,740.29 × 1,194.67
  4. Step 4: Simplify right side
    2,493.51x = 4,468,412.25
  5. Step 5: Solve for x
    x = 4,468,412.25/2,493.51
  6. Step 6: Final answer
    x = 1,792.02

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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.