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Finding the Fourth Proportional to 1,520.56, 2,280.83 and 366.31

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Solution

The fourth proportional to 1,520.56, 2,280.83 and 366.31 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.56 : 2,280.83 = 366.31 : x
  2. Step 2: Convert to fraction form
    1,520.56/2,280.83 = 366.31/x
  3. Step 3: Cross multiply
    1,520.56x = 2,280.83 × 366.31
  4. Step 4: Simplify right side
    1,520.56x = 835,482.12
  5. Step 5: Solve for x
    x = 835,482.12/1,520.56
  6. Step 6: Final answer
    x = 549.46

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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.