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Finding the Fourth Proportional to 3,164.02, 4,737.75 and 2,065.30

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Solution

The fourth proportional to 3,164.02, 4,737.75 and 2,065.30 is: 3,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.02 : 4,737.75 = 2,065.30 : x
  2. Step 2: Convert to fraction form
    3,164.02/4,737.75 = 2,065.30/x
  3. Step 3: Cross multiply
    3,164.02x = 4,737.75 × 2,065.30
  4. Step 4: Simplify right side
    3,164.02x = 9,784,875.08
  5. Step 5: Solve for x
    x = 9,784,875.08/3,164.02
  6. Step 6: Final answer
    x = 3,092.55

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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.