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Finding the Fourth Proportional to 2,715.87, 3,749.75 and 2,056.33

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Solution

The fourth proportional to 2,715.87, 3,749.75 and 2,056.33 is: 2,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.87 : 3,749.75 = 2,056.33 : x
  2. Step 2: Convert to fraction form
    2,715.87/3,749.75 = 2,056.33/x
  3. Step 3: Cross multiply
    2,715.87x = 3,749.75 × 2,056.33
  4. Step 4: Simplify right side
    2,715.87x = 7,710,711.47
  5. Step 5: Solve for x
    x = 7,710,711.47/2,715.87
  6. Step 6: Final answer
    x = 2,839.13

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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.