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Finding the Fourth Proportional to 2,125.53, 2,932.02 and 1,914.12

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Solution

The fourth proportional to 2,125.53, 2,932.02 and 1,914.12 is: 2,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.53 : 2,932.02 = 1,914.12 : x
  2. Step 2: Convert to fraction form
    2,125.53/2,932.02 = 1,914.12/x
  3. Step 3: Cross multiply
    2,125.53x = 2,932.02 × 1,914.12
  4. Step 4: Simplify right side
    2,125.53x = 5,612,238.12
  5. Step 5: Solve for x
    x = 5,612,238.12/2,125.53
  6. Step 6: Final answer
    x = 2,640.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.