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Finding the Fourth Proportional to 2,208.06, 3,046.14 and 1,544.67

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Solution

The fourth proportional to 2,208.06, 3,046.14 and 1,544.67 is: 2,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.06 : 3,046.14 = 1,544.67 : x
  2. Step 2: Convert to fraction form
    2,208.06/3,046.14 = 1,544.67/x
  3. Step 3: Cross multiply
    2,208.06x = 3,046.14 × 1,544.67
  4. Step 4: Simplify right side
    2,208.06x = 4,705,281.07
  5. Step 5: Solve for x
    x = 4,705,281.07/2,208.06
  6. Step 6: Final answer
    x = 2,130.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.