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Finding the Fourth Proportional to 2,318.68, 3,475.59 and 856.90

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Solution

The fourth proportional to 2,318.68, 3,475.59 and 856.90 is: 1,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.68 : 3,475.59 = 856.90 : x
  2. Step 2: Convert to fraction form
    2,318.68/3,475.59 = 856.90/x
  3. Step 3: Cross multiply
    2,318.68x = 3,475.59 × 856.90
  4. Step 4: Simplify right side
    2,318.68x = 2,978,233.07
  5. Step 5: Solve for x
    x = 2,978,233.07/2,318.68
  6. Step 6: Final answer
    x = 1,284.45

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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.