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Finding the Fourth Proportional to 1,946.54, 2,685.84 and 1,200.20

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Solution

The fourth proportional to 1,946.54, 2,685.84 and 1,200.20 is: 1,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.54 : 2,685.84 = 1,200.20 : x
  2. Step 2: Convert to fraction form
    1,946.54/2,685.84 = 1,200.20/x
  3. Step 3: Cross multiply
    1,946.54x = 2,685.84 × 1,200.20
  4. Step 4: Simplify right side
    1,946.54x = 3,223,545.17
  5. Step 5: Solve for x
    x = 3,223,545.17/1,946.54
  6. Step 6: Final answer
    x = 1,656.04

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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.