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Finding the Fourth Proportional to 1,901.60, 2,847.54 and 1,684.52

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Solution

The fourth proportional to 1,901.60, 2,847.54 and 1,684.52 is: 2,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.60 : 2,847.54 = 1,684.52 : x
  2. Step 2: Convert to fraction form
    1,901.60/2,847.54 = 1,684.52/x
  3. Step 3: Cross multiply
    1,901.60x = 2,847.54 × 1,684.52
  4. Step 4: Simplify right side
    1,901.60x = 4,796,738.08
  5. Step 5: Solve for x
    x = 4,796,738.08/1,901.60
  6. Step 6: Final answer
    x = 2,522.47

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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.