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Finding the Fourth Proportional to 2,152.56, 2,970.60 and 1,221.20

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Solution

The fourth proportional to 2,152.56, 2,970.60 and 1,221.20 is: 1,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.56 : 2,970.60 = 1,221.20 : x
  2. Step 2: Convert to fraction form
    2,152.56/2,970.60 = 1,221.20/x
  3. Step 3: Cross multiply
    2,152.56x = 2,970.60 × 1,221.20
  4. Step 4: Simplify right side
    2,152.56x = 3,627,696.72
  5. Step 5: Solve for x
    x = 3,627,696.72/2,152.56
  6. Step 6: Final answer
    x = 1,685.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.