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Finding the Fourth Proportional to 2,639.85, 3,956.06 and 2,052.16

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Solution

The fourth proportional to 2,639.85, 3,956.06 and 2,052.16 is: 3,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.85 : 3,956.06 = 2,052.16 : x
  2. Step 2: Convert to fraction form
    2,639.85/3,956.06 = 2,052.16/x
  3. Step 3: Cross multiply
    2,639.85x = 3,956.06 × 2,052.16
  4. Step 4: Simplify right side
    2,639.85x = 8,118,468.09
  5. Step 5: Solve for x
    x = 8,118,468.09/2,639.85
  6. Step 6: Final answer
    x = 3,075.35

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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.