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Finding the Fourth Proportional to 2,426.56, 3,350.16 and 2,160.16

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Solution

The fourth proportional to 2,426.56, 3,350.16 and 2,160.16 is: 2,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.56 : 3,350.16 = 2,160.16 : x
  2. Step 2: Convert to fraction form
    2,426.56/3,350.16 = 2,160.16/x
  3. Step 3: Cross multiply
    2,426.56x = 3,350.16 × 2,160.16
  4. Step 4: Simplify right side
    2,426.56x = 7,236,881.63
  5. Step 5: Solve for x
    x = 7,236,881.63/2,426.56
  6. Step 6: Final answer
    x = 2,982.36

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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.