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Finding the Fourth Proportional to 2,745.58, 4,117.50 and 2,306.95

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Solution

The fourth proportional to 2,745.58, 4,117.50 and 2,306.95 is: 3,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.58 : 4,117.50 = 2,306.95 : x
  2. Step 2: Convert to fraction form
    2,745.58/4,117.50 = 2,306.95/x
  3. Step 3: Cross multiply
    2,745.58x = 4,117.50 × 2,306.95
  4. Step 4: Simplify right side
    2,745.58x = 9,498,866.63
  5. Step 5: Solve for x
    x = 9,498,866.63/2,745.58
  6. Step 6: Final answer
    x = 3,459.69

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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.