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Finding the Fourth Proportional to 1,689.92, 2,324.38 and 1,357.64

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Solution

The fourth proportional to 1,689.92, 2,324.38 and 1,357.64 is: 1,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.92 : 2,324.38 = 1,357.64 : x
  2. Step 2: Convert to fraction form
    1,689.92/2,324.38 = 1,357.64/x
  3. Step 3: Cross multiply
    1,689.92x = 2,324.38 × 1,357.64
  4. Step 4: Simplify right side
    1,689.92x = 3,155,671.26
  5. Step 5: Solve for x
    x = 3,155,671.26/1,689.92
  6. Step 6: Final answer
    x = 1,867.35

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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.