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Finding the Fourth Proportional to 2,109.59, 2,911.17 and 1,165.36

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Solution

The fourth proportional to 2,109.59, 2,911.17 and 1,165.36 is: 1,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.59 : 2,911.17 = 1,165.36 : x
  2. Step 2: Convert to fraction form
    2,109.59/2,911.17 = 1,165.36/x
  3. Step 3: Cross multiply
    2,109.59x = 2,911.17 × 1,165.36
  4. Step 4: Simplify right side
    2,109.59x = 3,392,547.97
  5. Step 5: Solve for x
    x = 3,392,547.97/2,109.59
  6. Step 6: Final answer
    x = 1,608.16

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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.