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Finding the Fourth Proportional to 2,477.54, 3,418.67 and 1,429.61

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Solution

The fourth proportional to 2,477.54, 3,418.67 and 1,429.61 is: 1,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.54 : 3,418.67 = 1,429.61 : x
  2. Step 2: Convert to fraction form
    2,477.54/3,418.67 = 1,429.61/x
  3. Step 3: Cross multiply
    2,477.54x = 3,418.67 × 1,429.61
  4. Step 4: Simplify right side
    2,477.54x = 4,887,351.30
  5. Step 5: Solve for x
    x = 4,887,351.30/2,477.54
  6. Step 6: Final answer
    x = 1,972.66

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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.