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Finding the Fourth Proportional to 1,637.25, 2,454.95 and 541.05

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Solution

The fourth proportional to 1,637.25, 2,454.95 and 541.05 is: 811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.25 : 2,454.95 = 541.05 : x
  2. Step 2: Convert to fraction form
    1,637.25/2,454.95 = 541.05/x
  3. Step 3: Cross multiply
    1,637.25x = 2,454.95 × 541.05
  4. Step 4: Simplify right side
    1,637.25x = 1,328,247.99
  5. Step 5: Solve for x
    x = 1,328,247.99/1,637.25
  6. Step 6: Final answer
    x = 811.27

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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.