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Finding the Fourth Proportional to 2,326.92, 3,496.95 and 1,756.68

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Solution

The fourth proportional to 2,326.92, 3,496.95 and 1,756.68 is: 2,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.92 : 3,496.95 = 1,756.68 : x
  2. Step 2: Convert to fraction form
    2,326.92/3,496.95 = 1,756.68/x
  3. Step 3: Cross multiply
    2,326.92x = 3,496.95 × 1,756.68
  4. Step 4: Simplify right side
    2,326.92x = 6,143,022.13
  5. Step 5: Solve for x
    x = 6,143,022.13/2,326.92
  6. Step 6: Final answer
    x = 2,639.98

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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.