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Finding the Fourth Proportional to 2,534.49, 3,797.48 and 2,046.67

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Solution

The fourth proportional to 2,534.49, 3,797.48 and 2,046.67 is: 3,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.49 : 3,797.48 = 2,046.67 : x
  2. Step 2: Convert to fraction form
    2,534.49/3,797.48 = 2,046.67/x
  3. Step 3: Cross multiply
    2,534.49x = 3,797.48 × 2,046.67
  4. Step 4: Simplify right side
    2,534.49x = 7,772,184.01
  5. Step 5: Solve for x
    x = 7,772,184.01/2,534.49
  6. Step 6: Final answer
    x = 3,066.57

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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.