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Finding the Fourth Proportional to 2,292.13, 3,436.37 and 992.69

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Solution

The fourth proportional to 2,292.13, 3,436.37 and 992.69 is: 1,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.13 : 3,436.37 = 992.69 : x
  2. Step 2: Convert to fraction form
    2,292.13/3,436.37 = 992.69/x
  3. Step 3: Cross multiply
    2,292.13x = 3,436.37 × 992.69
  4. Step 4: Simplify right side
    2,292.13x = 3,411,250.14
  5. Step 5: Solve for x
    x = 3,411,250.14/2,292.13
  6. Step 6: Final answer
    x = 1,488.24

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