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Finding the Fourth Proportional to 2,061.76, 2,845.11 and 1,165.50

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Solution

The fourth proportional to 2,061.76, 2,845.11 and 1,165.50 is: 1,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.76 : 2,845.11 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    2,061.76/2,845.11 = 1,165.50/x
  3. Step 3: Cross multiply
    2,061.76x = 2,845.11 × 1,165.50
  4. Step 4: Simplify right side
    2,061.76x = 3,315,975.71
  5. Step 5: Solve for x
    x = 3,315,975.71/2,061.76
  6. Step 6: Final answer
    x = 1,608.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.