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Finding the Fourth Proportional to 1,552.16, 2,328.22 and 382.18

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Solution

The fourth proportional to 1,552.16, 2,328.22 and 382.18 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.16 : 2,328.22 = 382.18 : x
  2. Step 2: Convert to fraction form
    1,552.16/2,328.22 = 382.18/x
  3. Step 3: Cross multiply
    1,552.16x = 2,328.22 × 382.18
  4. Step 4: Simplify right side
    1,552.16x = 889,786.52
  5. Step 5: Solve for x
    x = 889,786.52/1,552.16
  6. Step 6: Final answer
    x = 573.26

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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.