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Finding the Fourth Proportional to 4,658.57, 6,988.48 and 1,696.63

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Solution

The fourth proportional to 4,658.57, 6,988.48 and 1,696.63 is: 2,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.57 : 6,988.48 = 1,696.63 : x
  2. Step 2: Convert to fraction form
    4,658.57/6,988.48 = 1,696.63/x
  3. Step 3: Cross multiply
    4,658.57x = 6,988.48 × 1,696.63
  4. Step 4: Simplify right side
    4,658.57x = 11,856,864.82
  5. Step 5: Solve for x
    x = 11,856,864.82/4,658.57
  6. Step 6: Final answer
    x = 2,545.17

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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.