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Finding the Fourth Proportional to 3,107.64, 4,661.40 and 2,074.26

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Solution

The fourth proportional to 3,107.64, 4,661.40 and 2,074.26 is: 3,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.64 : 4,661.40 = 2,074.26 : x
  2. Step 2: Convert to fraction form
    3,107.64/4,661.40 = 2,074.26/x
  3. Step 3: Cross multiply
    3,107.64x = 4,661.40 × 2,074.26
  4. Step 4: Simplify right side
    3,107.64x = 9,668,955.56
  5. Step 5: Solve for x
    x = 9,668,955.56/3,107.64
  6. Step 6: Final answer
    x = 3,111.35

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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.