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Finding the Fourth Proportional to 2,524.56, 3,784.28 and 964.14

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Solution

The fourth proportional to 2,524.56, 3,784.28 and 964.14 is: 1,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.56 : 3,784.28 = 964.14 : x
  2. Step 2: Convert to fraction form
    2,524.56/3,784.28 = 964.14/x
  3. Step 3: Cross multiply
    2,524.56x = 3,784.28 × 964.14
  4. Step 4: Simplify right side
    2,524.56x = 3,648,570.90
  5. Step 5: Solve for x
    x = 3,648,570.90/2,524.56
  6. Step 6: Final answer
    x = 1,445.23

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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.