Home / 1,722.06-2,578.52-1,102.40

Finding the Fourth Proportional to 1,722.06, 2,578.52 and 1,102.40

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Solution

The fourth proportional to 1,722.06, 2,578.52 and 1,102.40 is: 1,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.06 : 2,578.52 = 1,102.40 : x
  2. Step 2: Convert to fraction form
    1,722.06/2,578.52 = 1,102.40/x
  3. Step 3: Cross multiply
    1,722.06x = 2,578.52 × 1,102.40
  4. Step 4: Simplify right side
    1,722.06x = 2,842,560.45
  5. Step 5: Solve for x
    x = 2,842,560.45/1,722.06
  6. Step 6: Final answer
    x = 1,650.67

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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.