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Finding the Fourth Proportional to 2,020.84, 3,030.92 and 540.08

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Solution

The fourth proportional to 2,020.84, 3,030.92 and 540.08 is: 810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.84 : 3,030.92 = 540.08 : x
  2. Step 2: Convert to fraction form
    2,020.84/3,030.92 = 540.08/x
  3. Step 3: Cross multiply
    2,020.84x = 3,030.92 × 540.08
  4. Step 4: Simplify right side
    2,020.84x = 1,636,939.27
  5. Step 5: Solve for x
    x = 1,636,939.27/2,020.84
  6. Step 6: Final answer
    x = 810.03

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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.