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Finding the Fourth Proportional to 3,172.48, 4,378.06 and 1,827.78

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Solution

The fourth proportional to 3,172.48, 4,378.06 and 1,827.78 is: 2,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.48 : 4,378.06 = 1,827.78 : x
  2. Step 2: Convert to fraction form
    3,172.48/4,378.06 = 1,827.78/x
  3. Step 3: Cross multiply
    3,172.48x = 4,378.06 × 1,827.78
  4. Step 4: Simplify right side
    3,172.48x = 8,002,130.51
  5. Step 5: Solve for x
    x = 8,002,130.51/3,172.48
  6. Step 6: Final answer
    x = 2,522.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.