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Finding the Fourth Proportional to 1,946.80, 2,686.08 and 1,200.52

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Solution

The fourth proportional to 1,946.80, 2,686.08 and 1,200.52 is: 1,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.80 : 2,686.08 = 1,200.52 : x
  2. Step 2: Convert to fraction form
    1,946.80/2,686.08 = 1,200.52/x
  3. Step 3: Cross multiply
    1,946.80x = 2,686.08 × 1,200.52
  4. Step 4: Simplify right side
    1,946.80x = 3,224,692.76
  5. Step 5: Solve for x
    x = 3,224,692.76/1,946.80
  6. Step 6: Final answer
    x = 1,656.41

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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.