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Finding the Fourth Proportional to 1,407.06, 1,936.98 and 1,209.42

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Solution

The fourth proportional to 1,407.06, 1,936.98 and 1,209.42 is: 1,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.06 : 1,936.98 = 1,209.42 : x
  2. Step 2: Convert to fraction form
    1,407.06/1,936.98 = 1,209.42/x
  3. Step 3: Cross multiply
    1,407.06x = 1,936.98 × 1,209.42
  4. Step 4: Simplify right side
    1,407.06x = 2,342,622.35
  5. Step 5: Solve for x
    x = 2,342,622.35/1,407.06
  6. Step 6: Final answer
    x = 1,664.91

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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.