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Finding the Fourth Proportional to 1,637.35, 2,456.01 and 541.55

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Solution

The fourth proportional to 1,637.35, 2,456.01 and 541.55 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.35 : 2,456.01 = 541.55 : x
  2. Step 2: Convert to fraction form
    1,637.35/2,456.01 = 541.55/x
  3. Step 3: Cross multiply
    1,637.35x = 2,456.01 × 541.55
  4. Step 4: Simplify right side
    1,637.35x = 1,330,058.36
  5. Step 5: Solve for x
    x = 1,330,058.36/1,637.35
  6. Step 6: Final answer
    x = 812.33

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