Home / 2,282.08-3,137.12-2,267.68

Finding the Fourth Proportional to 2,282.08, 3,137.12 and 2,267.68

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Solution

The fourth proportional to 2,282.08, 3,137.12 and 2,267.68 is: 3,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.08 : 3,137.12 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    2,282.08/3,137.12 = 2,267.68/x
  3. Step 3: Cross multiply
    2,282.08x = 3,137.12 × 2,267.68
  4. Step 4: Simplify right side
    2,282.08x = 7,113,984.28
  5. Step 5: Solve for x
    x = 7,113,984.28/2,282.08
  6. Step 6: Final answer
    x = 3,117.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.