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Finding the Fourth Proportional to 2,017.54, 3,026.74 and 719

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Solution

The fourth proportional to 2,017.54, 3,026.74 and 719 is: 1,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.54 : 3,026.74 = 719 : x
  2. Step 2: Convert to fraction form
    2,017.54/3,026.74 = 719/x
  3. Step 3: Cross multiply
    2,017.54x = 3,026.74 × 719
  4. Step 4: Simplify right side
    2,017.54x = 2,176,226.06
  5. Step 5: Solve for x
    x = 2,176,226.06/2,017.54
  6. Step 6: Final answer
    x = 1,078.65

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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.