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Finding the Fourth Proportional to 1,906.06, 2,636.16 and 1,709.50

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Solution

The fourth proportional to 1,906.06, 2,636.16 and 1,709.50 is: 2,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.06 : 2,636.16 = 1,709.50 : x
  2. Step 2: Convert to fraction form
    1,906.06/2,636.16 = 1,709.50/x
  3. Step 3: Cross multiply
    1,906.06x = 2,636.16 × 1,709.50
  4. Step 4: Simplify right side
    1,906.06x = 4,506,515.52
  5. Step 5: Solve for x
    x = 4,506,515.52/1,906.06
  6. Step 6: Final answer
    x = 2,364.31

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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.