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Finding the Fourth Proportional to 1,719.61, 2,579.51 and 745.79

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Solution

The fourth proportional to 1,719.61, 2,579.51 and 745.79 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.61 : 2,579.51 = 745.79 : x
  2. Step 2: Convert to fraction form
    1,719.61/2,579.51 = 745.79/x
  3. Step 3: Cross multiply
    1,719.61x = 2,579.51 × 745.79
  4. Step 4: Simplify right side
    1,719.61x = 1,923,761.73
  5. Step 5: Solve for x
    x = 1,923,761.73/1,719.61
  6. Step 6: Final answer
    x = 1,118.72

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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.