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Finding the Fourth Proportional to 2,637.01, 3,637.83 and 1,741.69

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Solution

The fourth proportional to 2,637.01, 3,637.83 and 1,741.69 is: 2,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.01 : 3,637.83 = 1,741.69 : x
  2. Step 2: Convert to fraction form
    2,637.01/3,637.83 = 1,741.69/x
  3. Step 3: Cross multiply
    2,637.01x = 3,637.83 × 1,741.69
  4. Step 4: Simplify right side
    2,637.01x = 6,335,972.13
  5. Step 5: Solve for x
    x = 6,335,972.13/2,637.01
  6. Step 6: Final answer
    x = 2,402.71

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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.