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Finding the Fourth Proportional to 2,477.07, 3,708.39 and 1,304.29

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Solution

The fourth proportional to 2,477.07, 3,708.39 and 1,304.29 is: 1,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.07 : 3,708.39 = 1,304.29 : x
  2. Step 2: Convert to fraction form
    2,477.07/3,708.39 = 1,304.29/x
  3. Step 3: Cross multiply
    2,477.07x = 3,708.39 × 1,304.29
  4. Step 4: Simplify right side
    2,477.07x = 4,836,815.99
  5. Step 5: Solve for x
    x = 4,836,815.99/2,477.07
  6. Step 6: Final answer
    x = 1,952.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.