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Finding the Fourth Proportional to 2,509.06, 3,763.48 and 1,191.86

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Solution

The fourth proportional to 2,509.06, 3,763.48 and 1,191.86 is: 1,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.06 : 3,763.48 = 1,191.86 : x
  2. Step 2: Convert to fraction form
    2,509.06/3,763.48 = 1,191.86/x
  3. Step 3: Cross multiply
    2,509.06x = 3,763.48 × 1,191.86
  4. Step 4: Simplify right side
    2,509.06x = 4,485,541.27
  5. Step 5: Solve for x
    x = 4,485,541.27/2,509.06
  6. Step 6: Final answer
    x = 1,787.74

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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.