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Finding the Fourth Proportional to 1,552.54, 2,328.80 and 1,474.67

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Solution

The fourth proportional to 1,552.54, 2,328.80 and 1,474.67 is: 2,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.54 : 2,328.80 = 1,474.67 : x
  2. Step 2: Convert to fraction form
    1,552.54/2,328.80 = 1,474.67/x
  3. Step 3: Cross multiply
    1,552.54x = 2,328.80 × 1,474.67
  4. Step 4: Simplify right side
    1,552.54x = 3,434,204.12
  5. Step 5: Solve for x
    x = 3,434,204.12/1,552.54
  6. Step 6: Final answer
    x = 2,212.00

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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.