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Finding the Fourth Proportional to 2,338.92, 3,508.62 and 1,106

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Solution

The fourth proportional to 2,338.92, 3,508.62 and 1,106 is: 1,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.92 : 3,508.62 = 1,106 : x
  2. Step 2: Convert to fraction form
    2,338.92/3,508.62 = 1,106/x
  3. Step 3: Cross multiply
    2,338.92x = 3,508.62 × 1,106
  4. Step 4: Simplify right side
    2,338.92x = 3,880,533.72
  5. Step 5: Solve for x
    x = 3,880,533.72/2,338.92
  6. Step 6: Final answer
    x = 1,659.11

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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.