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Finding the Fourth Proportional to 2,317.38, 3,473.88 and 856.14

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Solution

The fourth proportional to 2,317.38, 3,473.88 and 856.14 is: 1,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.38 : 3,473.88 = 856.14 : x
  2. Step 2: Convert to fraction form
    2,317.38/3,473.88 = 856.14/x
  3. Step 3: Cross multiply
    2,317.38x = 3,473.88 × 856.14
  4. Step 4: Simplify right side
    2,317.38x = 2,974,127.62
  5. Step 5: Solve for x
    x = 2,974,127.62/2,317.38
  6. Step 6: Final answer
    x = 1,283.40

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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.