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Finding the Fourth Proportional to 2,152.67, 2,970.74 and 1,221.17

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Solution

The fourth proportional to 2,152.67, 2,970.74 and 1,221.17 is: 1,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.67 : 2,970.74 = 1,221.17 : x
  2. Step 2: Convert to fraction form
    2,152.67/2,970.74 = 1,221.17/x
  3. Step 3: Cross multiply
    2,152.67x = 2,970.74 × 1,221.17
  4. Step 4: Simplify right side
    2,152.67x = 3,627,772.46
  5. Step 5: Solve for x
    x = 3,627,772.46/2,152.67
  6. Step 6: Final answer
    x = 1,685.24

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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.