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Finding the Fourth Proportional to 1,552.13, 2,328.17 and 382.14

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Solution

The fourth proportional to 1,552.13, 2,328.17 and 382.14 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.13 : 2,328.17 = 382.14 : x
  2. Step 2: Convert to fraction form
    1,552.13/2,328.17 = 382.14/x
  3. Step 3: Cross multiply
    1,552.13x = 2,328.17 × 382.14
  4. Step 4: Simplify right side
    1,552.13x = 889,695.85
  5. Step 5: Solve for x
    x = 889,695.85/1,552.13
  6. Step 6: Final answer
    x = 573.21

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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.