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Finding the Fourth Proportional to 2,453.86, 3,384.48 and 1,666.54

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Solution

The fourth proportional to 2,453.86, 3,384.48 and 1,666.54 is: 2,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.86 : 3,384.48 = 1,666.54 : x
  2. Step 2: Convert to fraction form
    2,453.86/3,384.48 = 1,666.54/x
  3. Step 3: Cross multiply
    2,453.86x = 3,384.48 × 1,666.54
  4. Step 4: Simplify right side
    2,453.86x = 5,640,371.30
  5. Step 5: Solve for x
    x = 5,640,371.30/2,453.86
  6. Step 6: Final answer
    x = 2,298.57

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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.