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Finding the Fourth Proportional to 2,292.72, 3,164.02 and 1,409.04

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Solution

The fourth proportional to 2,292.72, 3,164.02 and 1,409.04 is: 1,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.72 : 3,164.02 = 1,409.04 : x
  2. Step 2: Convert to fraction form
    2,292.72/3,164.02 = 1,409.04/x
  3. Step 3: Cross multiply
    2,292.72x = 3,164.02 × 1,409.04
  4. Step 4: Simplify right side
    2,292.72x = 4,458,230.74
  5. Step 5: Solve for x
    x = 4,458,230.74/2,292.72
  6. Step 6: Final answer
    x = 1,944.52

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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.