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Finding the Fourth Proportional to 2,715.89, 3,744.64 and 2,295.50

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Solution

The fourth proportional to 2,715.89, 3,744.64 and 2,295.50 is: 3,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.89 : 3,744.64 = 2,295.50 : x
  2. Step 2: Convert to fraction form
    2,715.89/3,744.64 = 2,295.50/x
  3. Step 3: Cross multiply
    2,715.89x = 3,744.64 × 2,295.50
  4. Step 4: Simplify right side
    2,715.89x = 8,595,821.12
  5. Step 5: Solve for x
    x = 8,595,821.12/2,715.89
  6. Step 6: Final answer
    x = 3,165.01

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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.