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Finding the Fourth Proportional to 4,496.54, 6,744.76 and 2,030.70

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Solution

The fourth proportional to 4,496.54, 6,744.76 and 2,030.70 is: 3,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.54 : 6,744.76 = 2,030.70 : x
  2. Step 2: Convert to fraction form
    4,496.54/6,744.76 = 2,030.70/x
  3. Step 3: Cross multiply
    4,496.54x = 6,744.76 × 2,030.70
  4. Step 4: Simplify right side
    4,496.54x = 13,696,584.13
  5. Step 5: Solve for x
    x = 13,696,584.13/4,496.54
  6. Step 6: Final answer
    x = 3,046.03

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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.