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Finding the Fourth Proportional to 4,655.70, 6,983.89 and 1,734

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Solution

The fourth proportional to 4,655.70, 6,983.89 and 1,734 is: 2,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.70 : 6,983.89 = 1,734 : x
  2. Step 2: Convert to fraction form
    4,655.70/6,983.89 = 1,734/x
  3. Step 3: Cross multiply
    4,655.70x = 6,983.89 × 1,734
  4. Step 4: Simplify right side
    4,655.70x = 12,110,065.26
  5. Step 5: Solve for x
    x = 12,110,065.26/4,655.70
  6. Step 6: Final answer
    x = 2,601.13

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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.