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Finding the Fourth Proportional to 2,220.81, 3,328.13 and 1,397.60

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Solution

The fourth proportional to 2,220.81, 3,328.13 and 1,397.60 is: 2,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.81 : 3,328.13 = 1,397.60 : x
  2. Step 2: Convert to fraction form
    2,220.81/3,328.13 = 1,397.60/x
  3. Step 3: Cross multiply
    2,220.81x = 3,328.13 × 1,397.60
  4. Step 4: Simplify right side
    2,220.81x = 4,651,394.49
  5. Step 5: Solve for x
    x = 4,651,394.49/2,220.81
  6. Step 6: Final answer
    x = 2,094.46

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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.