Home / 2,317.17-3,476.16-856.14

Finding the Fourth Proportional to 2,317.17, 3,476.16 and 856.14

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Solution

The fourth proportional to 2,317.17, 3,476.16 and 856.14 is: 1,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.17 : 3,476.16 = 856.14 : x
  2. Step 2: Convert to fraction form
    2,317.17/3,476.16 = 856.14/x
  3. Step 3: Cross multiply
    2,317.17x = 3,476.16 × 856.14
  4. Step 4: Simplify right side
    2,317.17x = 2,976,079.62
  5. Step 5: Solve for x
    x = 2,976,079.62/2,317.17
  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.