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Finding the Fourth Proportional to 2,637.96, 3,640.24 and 1,458.96

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Solution

The fourth proportional to 2,637.96, 3,640.24 and 1,458.96 is: 2,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.96 : 3,640.24 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    2,637.96/3,640.24 = 1,458.96/x
  3. Step 3: Cross multiply
    2,637.96x = 3,640.24 × 1,458.96
  4. Step 4: Simplify right side
    2,637.96x = 5,310,964.55
  5. Step 5: Solve for x
    x = 5,310,964.55/2,637.96
  6. Step 6: Final answer
    x = 2,013.28

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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.