Home / 2,309.16-3,464.16-1,077.96

Finding the Fourth Proportional to 2,309.16, 3,464.16 and 1,077.96

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Solution

The fourth proportional to 2,309.16, 3,464.16 and 1,077.96 is: 1,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.16 : 3,464.16 = 1,077.96 : x
  2. Step 2: Convert to fraction form
    2,309.16/3,464.16 = 1,077.96/x
  3. Step 3: Cross multiply
    2,309.16x = 3,464.16 × 1,077.96
  4. Step 4: Simplify right side
    2,309.16x = 3,734,225.91
  5. Step 5: Solve for x
    x = 3,734,225.91/2,309.16
  6. Step 6: Final answer
    x = 1,617.14

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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.