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Finding the Fourth Proportional to 1,552.80, 2,329.17 and 382.81

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Solution

The fourth proportional to 1,552.80, 2,329.17 and 382.81 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.80 : 2,329.17 = 382.81 : x
  2. Step 2: Convert to fraction form
    1,552.80/2,329.17 = 382.81/x
  3. Step 3: Cross multiply
    1,552.80x = 2,329.17 × 382.81
  4. Step 4: Simplify right side
    1,552.80x = 891,628.83
  5. Step 5: Solve for x
    x = 891,628.83/1,552.80
  6. Step 6: Final answer
    x = 574.21

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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.