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Finding the Fourth Proportional to 2,065.13, 2,849.81 and 1,180.74

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Solution

The fourth proportional to 2,065.13, 2,849.81 and 1,180.74 is: 1,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.13 : 2,849.81 = 1,180.74 : x
  2. Step 2: Convert to fraction form
    2,065.13/2,849.81 = 1,180.74/x
  3. Step 3: Cross multiply
    2,065.13x = 2,849.81 × 1,180.74
  4. Step 4: Simplify right side
    2,065.13x = 3,364,878.76
  5. Step 5: Solve for x
    x = 3,364,878.76/2,065.13
  6. Step 6: Final answer
    x = 1,629.38

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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.