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Finding the Fourth Proportional to 2,021.95, 3,032.81 and 851.45

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Solution

The fourth proportional to 2,021.95, 3,032.81 and 851.45 is: 1,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.95 : 3,032.81 = 851.45 : x
  2. Step 2: Convert to fraction form
    2,021.95/3,032.81 = 851.45/x
  3. Step 3: Cross multiply
    2,021.95x = 3,032.81 × 851.45
  4. Step 4: Simplify right side
    2,021.95x = 2,582,281.82
  5. Step 5: Solve for x
    x = 2,582,281.82/2,021.95
  6. Step 6: Final answer
    x = 1,277.13

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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.