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Finding the Fourth Proportional to 2,615, 3,605.50 and 2,053.72

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Solution

The fourth proportional to 2,615, 3,605.50 and 2,053.72 is: 2,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615 : 3,605.50 = 2,053.72 : x
  2. Step 2: Convert to fraction form
    2,615/3,605.50 = 2,053.72/x
  3. Step 3: Cross multiply
    2,615x = 3,605.50 × 2,053.72
  4. Step 4: Simplify right side
    2,615x = 7,404,687.46
  5. Step 5: Solve for x
    x = 7,404,687.46/2,615
  6. Step 6: Final answer
    x = 2,831.62

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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.