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Finding the Fourth Proportional to 1,616.71, 2,228.93 and 1,056.20

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Solution

The fourth proportional to 1,616.71, 2,228.93 and 1,056.20 is: 1,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.71 : 2,228.93 = 1,056.20 : x
  2. Step 2: Convert to fraction form
    1,616.71/2,228.93 = 1,056.20/x
  3. Step 3: Cross multiply
    1,616.71x = 2,228.93 × 1,056.20
  4. Step 4: Simplify right side
    1,616.71x = 2,354,190.59
  5. Step 5: Solve for x
    x = 2,354,190.59/1,616.71
  6. Step 6: Final answer
    x = 1,456.17

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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.