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Finding the Fourth Proportional to 2,477.52, 3,715.80 and 745.68

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Solution

The fourth proportional to 2,477.52, 3,715.80 and 745.68 is: 1,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.52 : 3,715.80 = 745.68 : x
  2. Step 2: Convert to fraction form
    2,477.52/3,715.80 = 745.68/x
  3. Step 3: Cross multiply
    2,477.52x = 3,715.80 × 745.68
  4. Step 4: Simplify right side
    2,477.52x = 2,770,797.74
  5. Step 5: Solve for x
    x = 2,770,797.74/2,477.52
  6. Step 6: Final answer
    x = 1,118.38

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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.