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Finding the Fourth Proportional to 2,388.48, 3,584.70 and 1,219.35

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Solution

The fourth proportional to 2,388.48, 3,584.70 and 1,219.35 is: 1,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.48 : 3,584.70 = 1,219.35 : x
  2. Step 2: Convert to fraction form
    2,388.48/3,584.70 = 1,219.35/x
  3. Step 3: Cross multiply
    2,388.48x = 3,584.70 × 1,219.35
  4. Step 4: Simplify right side
    2,388.48x = 4,371,003.95
  5. Step 5: Solve for x
    x = 4,371,003.95/2,388.48
  6. Step 6: Final answer
    x = 1,830.04

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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.