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Finding the Fourth Proportional to 2,017.52, 3,025.32 and 718.64

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Solution

The fourth proportional to 2,017.52, 3,025.32 and 718.64 is: 1,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.52 : 3,025.32 = 718.64 : x
  2. Step 2: Convert to fraction form
    2,017.52/3,025.32 = 718.64/x
  3. Step 3: Cross multiply
    2,017.52x = 3,025.32 × 718.64
  4. Step 4: Simplify right side
    2,017.52x = 2,174,115.96
  5. Step 5: Solve for x
    x = 2,174,115.96/2,017.52
  6. Step 6: Final answer
    x = 1,077.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.