Home / 2,110-2,911.86-1,178.56

Finding the Fourth Proportional to 2,110, 2,911.86 and 1,178.56

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Solution

The fourth proportional to 2,110, 2,911.86 and 1,178.56 is: 1,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 2,911.86 = 1,178.56 : x
  2. Step 2: Convert to fraction form
    2,110/2,911.86 = 1,178.56/x
  3. Step 3: Cross multiply
    2,110x = 2,911.86 × 1,178.56
  4. Step 4: Simplify right side
    2,110x = 3,431,801.72
  5. Step 5: Solve for x
    x = 3,431,801.72/2,110
  6. Step 6: Final answer
    x = 1,626.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.