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Finding the Fourth Proportional to 2,109.63, 2,911.92 and 1,323.66

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Solution

The fourth proportional to 2,109.63, 2,911.92 and 1,323.66 is: 1,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.63 : 2,911.92 = 1,323.66 : x
  2. Step 2: Convert to fraction form
    2,109.63/2,911.92 = 1,323.66/x
  3. Step 3: Cross multiply
    2,109.63x = 2,911.92 × 1,323.66
  4. Step 4: Simplify right side
    2,109.63x = 3,854,392.03
  5. Step 5: Solve for x
    x = 3,854,392.03/2,109.63
  6. Step 6: Final answer
    x = 1,827.05

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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.