Home / 2,317.14-3,475.62-856.26

Finding the Fourth Proportional to 2,317.14, 3,475.62 and 856.26

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Solution

The fourth proportional to 2,317.14, 3,475.62 and 856.26 is: 1,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.14 : 3,475.62 = 856.26 : x
  2. Step 2: Convert to fraction form
    2,317.14/3,475.62 = 856.26/x
  3. Step 3: Cross multiply
    2,317.14x = 3,475.62 × 856.26
  4. Step 4: Simplify right side
    2,317.14x = 2,976,034.38
  5. Step 5: Solve for x
    x = 2,976,034.38/2,317.14
  6. Step 6: Final answer
    x = 1,284.36

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1.5x scale

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.