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Finding the Fourth Proportional to 1,523.56, 2,288.99 and 976.81

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Solution

The fourth proportional to 1,523.56, 2,288.99 and 976.81 is: 1,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.56 : 2,288.99 = 976.81 : x
  2. Step 2: Convert to fraction form
    1,523.56/2,288.99 = 976.81/x
  3. Step 3: Cross multiply
    1,523.56x = 2,288.99 × 976.81
  4. Step 4: Simplify right side
    1,523.56x = 2,235,908.32
  5. Step 5: Solve for x
    x = 2,235,908.32/1,523.56
  6. Step 6: Final answer
    x = 1,467.56

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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.