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Finding the Fourth Proportional to 1,552.37, 2,328.57 and 398.12

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Solution

The fourth proportional to 1,552.37, 2,328.57 and 398.12 is: 597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.37 : 2,328.57 = 398.12 : x
  2. Step 2: Convert to fraction form
    1,552.37/2,328.57 = 398.12/x
  3. Step 3: Cross multiply
    1,552.37x = 2,328.57 × 398.12
  4. Step 4: Simplify right side
    1,552.37x = 927,038.65
  5. Step 5: Solve for x
    x = 927,038.65/1,552.37
  6. Step 6: Final answer
    x = 597.18

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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.