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Finding the Fourth Proportional to 2,565.63, 3,541.09 and 2,004.99

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Solution

The fourth proportional to 2,565.63, 3,541.09 and 2,004.99 is: 2,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.63 : 3,541.09 = 2,004.99 : x
  2. Step 2: Convert to fraction form
    2,565.63/3,541.09 = 2,004.99/x
  3. Step 3: Cross multiply
    2,565.63x = 3,541.09 × 2,004.99
  4. Step 4: Simplify right side
    2,565.63x = 7,099,863.90
  5. Step 5: Solve for x
    x = 7,099,863.90/2,565.63
  6. Step 6: Final answer
    x = 2,767.30

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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.