Home / 2,743.52-3,786.24-1,564.67

Finding the Fourth Proportional to 2,743.52, 3,786.24 and 1,564.67

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Solution

The fourth proportional to 2,743.52, 3,786.24 and 1,564.67 is: 2,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.52 : 3,786.24 = 1,564.67 : x
  2. Step 2: Convert to fraction form
    2,743.52/3,786.24 = 1,564.67/x
  3. Step 3: Cross multiply
    2,743.52x = 3,786.24 × 1,564.67
  4. Step 4: Simplify right side
    2,743.52x = 5,924,210.18
  5. Step 5: Solve for x
    x = 5,924,210.18/2,743.52
  6. Step 6: Final answer
    x = 2,159.35

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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.