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Finding the Fourth Proportional to 2,665.17, 3,994.52 and 1,020.33

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Solution

The fourth proportional to 2,665.17, 3,994.52 and 1,020.33 is: 1,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.17 : 3,994.52 = 1,020.33 : x
  2. Step 2: Convert to fraction form
    2,665.17/3,994.52 = 1,020.33/x
  3. Step 3: Cross multiply
    2,665.17x = 3,994.52 × 1,020.33
  4. Step 4: Simplify right side
    2,665.17x = 4,075,723.49
  5. Step 5: Solve for x
    x = 4,075,723.49/2,665.17
  6. Step 6: Final answer
    x = 1,529.25

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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.