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Finding the Fourth Proportional to 2,342.16, 3,232.16 and 1,294.22

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Solution

The fourth proportional to 2,342.16, 3,232.16 and 1,294.22 is: 1,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,232.16 = 1,294.22 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,232.16 = 1,294.22/x
  3. Step 3: Cross multiply
    2,342.16x = 3,232.16 × 1,294.22
  4. Step 4: Simplify right side
    2,342.16x = 4,183,126.12
  5. Step 5: Solve for x
    x = 4,183,126.12/2,342.16
  6. Step 6: Final answer
    x = 1,786.01

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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.