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Finding the Fourth Proportional to 2,327.57, 3,489.14 and 1,492.07

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Solution

The fourth proportional to 2,327.57, 3,489.14 and 1,492.07 is: 2,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.57 : 3,489.14 = 1,492.07 : x
  2. Step 2: Convert to fraction form
    2,327.57/3,489.14 = 1,492.07/x
  3. Step 3: Cross multiply
    2,327.57x = 3,489.14 × 1,492.07
  4. Step 4: Simplify right side
    2,327.57x = 5,206,041.12
  5. Step 5: Solve for x
    x = 5,206,041.12/2,327.57
  6. Step 6: Final answer
    x = 2,236.69

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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.