Home / 2,209.13-3,314.79-976.40

Finding the Fourth Proportional to 2,209.13, 3,314.79 and 976.40

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Solution

The fourth proportional to 2,209.13, 3,314.79 and 976.40 is: 1,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.13 : 3,314.79 = 976.40 : x
  2. Step 2: Convert to fraction form
    2,209.13/3,314.79 = 976.40/x
  3. Step 3: Cross multiply
    2,209.13x = 3,314.79 × 976.40
  4. Step 4: Simplify right side
    2,209.13x = 3,236,544.38
  5. Step 5: Solve for x
    x = 3,236,544.38/2,209.13
  6. Step 6: Final answer
    x = 1,465.08

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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.