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Finding the Fourth Proportional to 2,109.16, 2,911.70 and 1,323.64

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Solution

The fourth proportional to 2,109.16, 2,911.70 and 1,323.64 is: 1,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.16 : 2,911.70 = 1,323.64 : x
  2. Step 2: Convert to fraction form
    2,109.16/2,911.70 = 1,323.64/x
  3. Step 3: Cross multiply
    2,109.16x = 2,911.70 × 1,323.64
  4. Step 4: Simplify right side
    2,109.16x = 3,854,042.59
  5. Step 5: Solve for x
    x = 3,854,042.59/2,109.16
  6. Step 6: Final answer
    x = 1,827.29

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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.