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Finding the Fourth Proportional to 2,695.63, 3,717.89 and 2,363.50

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Solution

The fourth proportional to 2,695.63, 3,717.89 and 2,363.50 is: 3,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.63 : 3,717.89 = 2,363.50 : x
  2. Step 2: Convert to fraction form
    2,695.63/3,717.89 = 2,363.50/x
  3. Step 3: Cross multiply
    2,695.63x = 3,717.89 × 2,363.50
  4. Step 4: Simplify right side
    2,695.63x = 8,787,202.61
  5. Step 5: Solve for x
    x = 8,787,202.61/2,695.63
  6. Step 6: Final answer
    x = 3,259.80

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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.