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Finding the Fourth Proportional to 2,188.35, 3,283.13 and 1,215.13

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Solution

The fourth proportional to 2,188.35, 3,283.13 and 1,215.13 is: 1,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.35 : 3,283.13 = 1,215.13 : x
  2. Step 2: Convert to fraction form
    2,188.35/3,283.13 = 1,215.13/x
  3. Step 3: Cross multiply
    2,188.35x = 3,283.13 × 1,215.13
  4. Step 4: Simplify right side
    2,188.35x = 3,989,429.76
  5. Step 5: Solve for x
    x = 3,989,429.76/2,188.35
  6. Step 6: Final answer
    x = 1,823.03

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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.