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Finding the Fourth Proportional to 2,363.36, 3,260.16 and 1,431.92

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Solution

The fourth proportional to 2,363.36, 3,260.16 and 1,431.92 is: 1,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.36 : 3,260.16 = 1,431.92 : x
  2. Step 2: Convert to fraction form
    2,363.36/3,260.16 = 1,431.92/x
  3. Step 3: Cross multiply
    2,363.36x = 3,260.16 × 1,431.92
  4. Step 4: Simplify right side
    2,363.36x = 4,668,288.31
  5. Step 5: Solve for x
    x = 4,668,288.31/2,363.36
  6. Step 6: Final answer
    x = 1,975.28

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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.