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Finding the Fourth Proportional to 2,509.32, 3,746.67 and 2,143.92

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Solution

The fourth proportional to 2,509.32, 3,746.67 and 2,143.92 is: 3,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.32 : 3,746.67 = 2,143.92 : x
  2. Step 2: Convert to fraction form
    2,509.32/3,746.67 = 2,143.92/x
  3. Step 3: Cross multiply
    2,509.32x = 3,746.67 × 2,143.92
  4. Step 4: Simplify right side
    2,509.32x = 8,032,560.75
  5. Step 5: Solve for x
    x = 8,032,560.75/2,509.32
  6. Step 6: Final answer
    x = 3,201.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.