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Finding the Fourth Proportional to 1,906.55, 2,632.10 and 1,309.91

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Solution

The fourth proportional to 1,906.55, 2,632.10 and 1,309.91 is: 1,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.55 : 2,632.10 = 1,309.91 : x
  2. Step 2: Convert to fraction form
    1,906.55/2,632.10 = 1,309.91/x
  3. Step 3: Cross multiply
    1,906.55x = 2,632.10 × 1,309.91
  4. Step 4: Simplify right side
    1,906.55x = 3,447,794.40
  5. Step 5: Solve for x
    x = 3,447,794.40/1,906.55
  6. Step 6: Final answer
    x = 1,808.40

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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.