Home / 2,742.09-4,113.36-1,097.74

Finding the Fourth Proportional to 2,742.09, 4,113.36 and 1,097.74

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Solution

The fourth proportional to 2,742.09, 4,113.36 and 1,097.74 is: 1,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.09 : 4,113.36 = 1,097.74 : x
  2. Step 2: Convert to fraction form
    2,742.09/4,113.36 = 1,097.74/x
  3. Step 3: Cross multiply
    2,742.09x = 4,113.36 × 1,097.74
  4. Step 4: Simplify right side
    2,742.09x = 4,515,399.81
  5. Step 5: Solve for x
    x = 4,515,399.81/2,742.09
  6. Step 6: Final answer
    x = 1,646.70

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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.