Home / 1,742.76-2,614.58-647.44

Finding the Fourth Proportional to 1,742.76, 2,614.58 and 647.44

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Solution

The fourth proportional to 1,742.76, 2,614.58 and 647.44 is: 971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.76 : 2,614.58 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,742.76/2,614.58 = 647.44/x
  3. Step 3: Cross multiply
    1,742.76x = 2,614.58 × 647.44
  4. Step 4: Simplify right side
    1,742.76x = 1,692,783.68
  5. Step 5: Solve for x
    x = 1,692,783.68/1,742.76
  6. Step 6: Final answer
    x = 971.32

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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.