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Finding the Fourth Proportional to 2,318.44, 3,474.54 and 856.18

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Solution

The fourth proportional to 2,318.44, 3,474.54 and 856.18 is: 1,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.44 : 3,474.54 = 856.18 : x
  2. Step 2: Convert to fraction form
    2,318.44/3,474.54 = 856.18/x
  3. Step 3: Cross multiply
    2,318.44x = 3,474.54 × 856.18
  4. Step 4: Simplify right side
    2,318.44x = 2,974,831.66
  5. Step 5: Solve for x
    x = 2,974,831.66/2,318.44
  6. Step 6: Final answer
    x = 1,283.12

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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.