Home / 2,117.78-3,176.69-947.84

Finding the Fourth Proportional to 2,117.78, 3,176.69 and 947.84

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Solution

The fourth proportional to 2,117.78, 3,176.69 and 947.84 is: 1,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.78 : 3,176.69 = 947.84 : x
  2. Step 2: Convert to fraction form
    2,117.78/3,176.69 = 947.84/x
  3. Step 3: Cross multiply
    2,117.78x = 3,176.69 × 947.84
  4. Step 4: Simplify right side
    2,117.78x = 3,010,993.85
  5. Step 5: Solve for x
    x = 3,010,993.85/2,117.78
  6. Step 6: Final answer
    x = 1,421.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.