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Finding the Fourth Proportional to 3,068.14, 4,603.02 and 1,766.74

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Solution

The fourth proportional to 3,068.14, 4,603.02 and 1,766.74 is: 2,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.14 : 4,603.02 = 1,766.74 : x
  2. Step 2: Convert to fraction form
    3,068.14/4,603.02 = 1,766.74/x
  3. Step 3: Cross multiply
    3,068.14x = 4,603.02 × 1,766.74
  4. Step 4: Simplify right side
    3,068.14x = 8,132,339.55
  5. Step 5: Solve for x
    x = 8,132,339.55/3,068.14
  6. Step 6: Final answer
    x = 2,650.58

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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.