Home / 1,722.24-2,377.20-1,024.08

Finding the Fourth Proportional to 1,722.24, 2,377.20 and 1,024.08

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Solution

The fourth proportional to 1,722.24, 2,377.20 and 1,024.08 is: 1,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.24 : 2,377.20 = 1,024.08 : x
  2. Step 2: Convert to fraction form
    1,722.24/2,377.20 = 1,024.08/x
  3. Step 3: Cross multiply
    1,722.24x = 2,377.20 × 1,024.08
  4. Step 4: Simplify right side
    1,722.24x = 2,434,442.98
  5. Step 5: Solve for x
    x = 2,434,442.98/1,722.24
  6. Step 6: Final answer
    x = 1,413.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.