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Finding the Fourth Proportional to 2,017.36, 3,025.12 and 784.43

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Solution

The fourth proportional to 2,017.36, 3,025.12 and 784.43 is: 1,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.36 : 3,025.12 = 784.43 : x
  2. Step 2: Convert to fraction form
    2,017.36/3,025.12 = 784.43/x
  3. Step 3: Cross multiply
    2,017.36x = 3,025.12 × 784.43
  4. Step 4: Simplify right side
    2,017.36x = 2,373,009.83
  5. Step 5: Solve for x
    x = 2,373,009.83/2,017.36
  6. Step 6: Final answer
    x = 1,176.30

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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.