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Finding the Fourth Proportional to 4,658.61, 6,985.49 and 1,734.51

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Solution

The fourth proportional to 4,658.61, 6,985.49 and 1,734.51 is: 2,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.61 : 6,985.49 = 1,734.51 : x
  2. Step 2: Convert to fraction form
    4,658.61/6,985.49 = 1,734.51/x
  3. Step 3: Cross multiply
    4,658.61x = 6,985.49 × 1,734.51
  4. Step 4: Simplify right side
    4,658.61x = 12,116,429.54
  5. Step 5: Solve for x
    x = 12,116,429.54/4,658.61
  6. Step 6: Final answer
    x = 2,600.87

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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.