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Finding the Fourth Proportional to 2,835.71, 4,253.52 and 2,056.08

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Solution

The fourth proportional to 2,835.71, 4,253.52 and 2,056.08 is: 3,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.71 : 4,253.52 = 2,056.08 : x
  2. Step 2: Convert to fraction form
    2,835.71/4,253.52 = 2,056.08/x
  3. Step 3: Cross multiply
    2,835.71x = 4,253.52 × 2,056.08
  4. Step 4: Simplify right side
    2,835.71x = 8,745,577.40
  5. Step 5: Solve for x
    x = 8,745,577.40/2,835.71
  6. Step 6: Final answer
    x = 3,084.09

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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.