Home / 2,317.14-3,475.74-585.78

Finding the Fourth Proportional to 2,317.14, 3,475.74 and 585.78

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Solution

The fourth proportional to 2,317.14, 3,475.74 and 585.78 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.14 : 3,475.74 = 585.78 : x
  2. Step 2: Convert to fraction form
    2,317.14/3,475.74 = 585.78/x
  3. Step 3: Cross multiply
    2,317.14x = 3,475.74 × 585.78
  4. Step 4: Simplify right side
    2,317.14x = 2,036,018.98
  5. Step 5: Solve for x
    x = 2,036,018.98/2,317.14
  6. Step 6: Final answer
    x = 878.68

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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.