Home / 2,317.16-3,475.75-778.16

Finding the Fourth Proportional to 2,317.16, 3,475.75 and 778.16

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Solution

The fourth proportional to 2,317.16, 3,475.75 and 778.16 is: 1,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.16 : 3,475.75 = 778.16 : x
  2. Step 2: Convert to fraction form
    2,317.16/3,475.75 = 778.16/x
  3. Step 3: Cross multiply
    2,317.16x = 3,475.75 × 778.16
  4. Step 4: Simplify right side
    2,317.16x = 2,704,672.24
  5. Step 5: Solve for x
    x = 2,704,672.24/2,317.16
  6. Step 6: Final answer
    x = 1,167.24

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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.