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Finding the Fourth Proportional to 2,017.73, 3,025.51 and 719.03

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Solution

The fourth proportional to 2,017.73, 3,025.51 and 719.03 is: 1,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.73 : 3,025.51 = 719.03 : x
  2. Step 2: Convert to fraction form
    2,017.73/3,025.51 = 719.03/x
  3. Step 3: Cross multiply
    2,017.73x = 3,025.51 × 719.03
  4. Step 4: Simplify right side
    2,017.73x = 2,175,432.46
  5. Step 5: Solve for x
    x = 2,175,432.46/2,017.73
  6. Step 6: Final answer
    x = 1,078.16

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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.