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Finding the Fourth Proportional to 1,616.94, 2,230.47 and 1,092.06

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Solution

The fourth proportional to 1,616.94, 2,230.47 and 1,092.06 is: 1,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.94 : 2,230.47 = 1,092.06 : x
  2. Step 2: Convert to fraction form
    1,616.94/2,230.47 = 1,092.06/x
  3. Step 3: Cross multiply
    1,616.94x = 2,230.47 × 1,092.06
  4. Step 4: Simplify right side
    1,616.94x = 2,435,807.07
  5. Step 5: Solve for x
    x = 2,435,807.07/1,616.94
  6. Step 6: Final answer
    x = 1,506.43

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1.5x scale

Why These Related Problems?

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