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Finding the Fourth Proportional to 2,292.27, 3,436.98 and 992.64

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Solution

The fourth proportional to 2,292.27, 3,436.98 and 992.64 is: 1,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.27 : 3,436.98 = 992.64 : x
  2. Step 2: Convert to fraction form
    2,292.27/3,436.98 = 992.64/x
  3. Step 3: Cross multiply
    2,292.27x = 3,436.98 × 992.64
  4. Step 4: Simplify right side
    2,292.27x = 3,411,683.83
  5. Step 5: Solve for x
    x = 3,411,683.83/2,292.27
  6. Step 6: Final answer
    x = 1,488.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.