Home / 2,277.54-3,416.31-2,111.47

Finding the Fourth Proportional to 2,277.54, 3,416.31 and 2,111.47

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Solution

The fourth proportional to 2,277.54, 3,416.31 and 2,111.47 is: 3,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.54 : 3,416.31 = 2,111.47 : x
  2. Step 2: Convert to fraction form
    2,277.54/3,416.31 = 2,111.47/x
  3. Step 3: Cross multiply
    2,277.54x = 3,416.31 × 2,111.47
  4. Step 4: Simplify right side
    2,277.54x = 7,213,427.53
  5. Step 5: Solve for x
    x = 7,213,427.53/2,277.54
  6. Step 6: Final answer
    x = 3,167.20

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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.