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Finding the Fourth Proportional to 1,614.76, 2,228.46 and 1,221.10

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Solution

The fourth proportional to 1,614.76, 2,228.46 and 1,221.10 is: 1,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.76 : 2,228.46 = 1,221.10 : x
  2. Step 2: Convert to fraction form
    1,614.76/2,228.46 = 1,221.10/x
  3. Step 3: Cross multiply
    1,614.76x = 2,228.46 × 1,221.10
  4. Step 4: Simplify right side
    1,614.76x = 2,721,172.51
  5. Step 5: Solve for x
    x = 2,721,172.51/1,614.76
  6. Step 6: Final answer
    x = 1,685.19

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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.