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Finding the Fourth Proportional to 2,838.93, 4,259.01 and 1,107.57

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Solution

The fourth proportional to 2,838.93, 4,259.01 and 1,107.57 is: 1,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.93 : 4,259.01 = 1,107.57 : x
  2. Step 2: Convert to fraction form
    2,838.93/4,259.01 = 1,107.57/x
  3. Step 3: Cross multiply
    2,838.93x = 4,259.01 × 1,107.57
  4. Step 4: Simplify right side
    2,838.93x = 4,717,151.71
  5. Step 5: Solve for x
    x = 4,717,151.71/2,838.93
  6. Step 6: Final answer
    x = 1,661.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.