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Finding the Fourth Proportional to 2,020.51, 3,030.75 and 519.52

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Solution

The fourth proportional to 2,020.51, 3,030.75 and 519.52 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.51 : 3,030.75 = 519.52 : x
  2. Step 2: Convert to fraction form
    2,020.51/3,030.75 = 519.52/x
  3. Step 3: Cross multiply
    2,020.51x = 3,030.75 × 519.52
  4. Step 4: Simplify right side
    2,020.51x = 1,574,541.87
  5. Step 5: Solve for x
    x = 1,574,541.87/2,020.51
  6. Step 6: Final answer
    x = 779.28

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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.