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Finding the Fourth Proportional to 2,109.57, 2,911.22 and 1,178.07

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Solution

The fourth proportional to 2,109.57, 2,911.22 and 1,178.07 is: 1,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.57 : 2,911.22 = 1,178.07 : x
  2. Step 2: Convert to fraction form
    2,109.57/2,911.22 = 1,178.07/x
  3. Step 3: Cross multiply
    2,109.57x = 2,911.22 × 1,178.07
  4. Step 4: Simplify right side
    2,109.57x = 3,429,615.06
  5. Step 5: Solve for x
    x = 3,429,615.06/2,109.57
  6. Step 6: Final answer
    x = 1,625.74

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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.