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Finding the Fourth Proportional to 2,032.53, 3,046.06 and 1,482.14

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Solution

The fourth proportional to 2,032.53, 3,046.06 and 1,482.14 is: 2,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.53 : 3,046.06 = 1,482.14 : x
  2. Step 2: Convert to fraction form
    2,032.53/3,046.06 = 1,482.14/x
  3. Step 3: Cross multiply
    2,032.53x = 3,046.06 × 1,482.14
  4. Step 4: Simplify right side
    2,032.53x = 4,514,664.73
  5. Step 5: Solve for x
    x = 4,514,664.73/2,032.53
  6. Step 6: Final answer
    x = 2,221.20

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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.