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Finding the Fourth Proportional to 1,637.21, 2,455.92 and 541.59

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Solution

The fourth proportional to 1,637.21, 2,455.92 and 541.59 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.21 : 2,455.92 = 541.59 : x
  2. Step 2: Convert to fraction form
    1,637.21/2,455.92 = 541.59/x
  3. Step 3: Cross multiply
    1,637.21x = 2,455.92 × 541.59
  4. Step 4: Simplify right side
    1,637.21x = 1,330,101.71
  5. Step 5: Solve for x
    x = 1,330,101.71/1,637.21
  6. Step 6: Final answer
    x = 812.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.