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Finding the Fourth Proportional to 2,713.14, 3,721.25 and 2,509.02

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Solution

The fourth proportional to 2,713.14, 3,721.25 and 2,509.02 is: 3,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.14 : 3,721.25 = 2,509.02 : x
  2. Step 2: Convert to fraction form
    2,713.14/3,721.25 = 2,509.02/x
  3. Step 3: Cross multiply
    2,713.14x = 3,721.25 × 2,509.02
  4. Step 4: Simplify right side
    2,713.14x = 9,336,678.13
  5. Step 5: Solve for x
    x = 9,336,678.13/2,713.14
  6. Step 6: Final answer
    x = 3,441.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.