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Finding the Fourth Proportional to 2,017.24, 3,025.56 and 784.56

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Solution

The fourth proportional to 2,017.24, 3,025.56 and 784.56 is: 1,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.24 : 3,025.56 = 784.56 : x
  2. Step 2: Convert to fraction form
    2,017.24/3,025.56 = 784.56/x
  3. Step 3: Cross multiply
    2,017.24x = 3,025.56 × 784.56
  4. Step 4: Simplify right side
    2,017.24x = 2,373,733.35
  5. Step 5: Solve for x
    x = 2,373,733.35/2,017.24
  6. Step 6: Final answer
    x = 1,176.72

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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.