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Finding the Fourth Proportional to 2,219.45, 3,328.12 and 1,048.48

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Solution

The fourth proportional to 2,219.45, 3,328.12 and 1,048.48 is: 1,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.45 : 3,328.12 = 1,048.48 : x
  2. Step 2: Convert to fraction form
    2,219.45/3,328.12 = 1,048.48/x
  3. Step 3: Cross multiply
    2,219.45x = 3,328.12 × 1,048.48
  4. Step 4: Simplify right side
    2,219.45x = 3,489,460.59
  5. Step 5: Solve for x
    x = 3,489,460.59/2,219.45
  6. Step 6: Final answer
    x = 1,572.22

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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.