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Finding the Fourth Proportional to 2,522.64, 3,482.85 and 1,727.30

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Solution

The fourth proportional to 2,522.64, 3,482.85 and 1,727.30 is: 2,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.64 : 3,482.85 = 1,727.30 : x
  2. Step 2: Convert to fraction form
    2,522.64/3,482.85 = 1,727.30/x
  3. Step 3: Cross multiply
    2,522.64x = 3,482.85 × 1,727.30
  4. Step 4: Simplify right side
    2,522.64x = 6,015,922.48
  5. Step 5: Solve for x
    x = 6,015,922.48/2,522.64
  6. Step 6: Final answer
    x = 2,384.77

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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.