Home / 2,103.17-3,154.47-716.45

Finding the Fourth Proportional to 2,103.17, 3,154.47 and 716.45

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Solution

The fourth proportional to 2,103.17, 3,154.47 and 716.45 is: 1,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.17 : 3,154.47 = 716.45 : x
  2. Step 2: Convert to fraction form
    2,103.17/3,154.47 = 716.45/x
  3. Step 3: Cross multiply
    2,103.17x = 3,154.47 × 716.45
  4. Step 4: Simplify right side
    2,103.17x = 2,260,004.26
  5. Step 5: Solve for x
    x = 2,260,004.26/2,103.17
  6. Step 6: Final answer
    x = 1,074.57

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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.