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Finding the Fourth Proportional to 1,746.57, 2,394.63 and 1,715.37

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Solution

The fourth proportional to 1,746.57, 2,394.63 and 1,715.37 is: 2,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.57 : 2,394.63 = 1,715.37 : x
  2. Step 2: Convert to fraction form
    1,746.57/2,394.63 = 1,715.37/x
  3. Step 3: Cross multiply
    1,746.57x = 2,394.63 × 1,715.37
  4. Step 4: Simplify right side
    1,746.57x = 4,107,676.46
  5. Step 5: Solve for x
    x = 4,107,676.46/1,746.57
  6. Step 6: Final answer
    x = 2,351.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.