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Finding the Fourth Proportional to 3,093.20, 4,637.20 and 1,448.88

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Solution

The fourth proportional to 3,093.20, 4,637.20 and 1,448.88 is: 2,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.20 : 4,637.20 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    3,093.20/4,637.20 = 1,448.88/x
  3. Step 3: Cross multiply
    3,093.20x = 4,637.20 × 1,448.88
  4. Step 4: Simplify right side
    3,093.20x = 6,718,746.34
  5. Step 5: Solve for x
    x = 6,718,746.34/3,093.20
  6. Step 6: Final answer
    x = 2,172.10

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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.