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Finding the Fourth Proportional to 1,637.77, 2,457.09 and 542.44

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Solution

The fourth proportional to 1,637.77, 2,457.09 and 542.44 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.77 : 2,457.09 = 542.44 : x
  2. Step 2: Convert to fraction form
    1,637.77/2,457.09 = 542.44/x
  3. Step 3: Cross multiply
    1,637.77x = 2,457.09 × 542.44
  4. Step 4: Simplify right side
    1,637.77x = 1,332,823.90
  5. Step 5: Solve for x
    x = 1,332,823.90/1,637.77
  6. Step 6: Final answer
    x = 813.80

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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.