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Finding the Fourth Proportional to 2,838.52, 3,916.59 and 1,659.28

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Solution

The fourth proportional to 2,838.52, 3,916.59 and 1,659.28 is: 2,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.52 : 3,916.59 = 1,659.28 : x
  2. Step 2: Convert to fraction form
    2,838.52/3,916.59 = 1,659.28/x
  3. Step 3: Cross multiply
    2,838.52x = 3,916.59 × 1,659.28
  4. Step 4: Simplify right side
    2,838.52x = 6,498,719.46
  5. Step 5: Solve for x
    x = 6,498,719.46/2,838.52
  6. Step 6: Final answer
    x = 2,289.47

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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.