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Finding the Fourth Proportional to 2,046.22, 2,821.80 and 1,488.54

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Solution

The fourth proportional to 2,046.22, 2,821.80 and 1,488.54 is: 2,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.22 : 2,821.80 = 1,488.54 : x
  2. Step 2: Convert to fraction form
    2,046.22/2,821.80 = 1,488.54/x
  3. Step 3: Cross multiply
    2,046.22x = 2,821.80 × 1,488.54
  4. Step 4: Simplify right side
    2,046.22x = 4,200,362.17
  5. Step 5: Solve for x
    x = 4,200,362.17/2,046.22
  6. Step 6: Final answer
    x = 2,052.74

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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.