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Finding the Fourth Proportional to 3,055.50, 4,216.59 and 1,658.25

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Solution

The fourth proportional to 3,055.50, 4,216.59 and 1,658.25 is: 2,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.50 : 4,216.59 = 1,658.25 : x
  2. Step 2: Convert to fraction form
    3,055.50/4,216.59 = 1,658.25/x
  3. Step 3: Cross multiply
    3,055.50x = 4,216.59 × 1,658.25
  4. Step 4: Simplify right side
    3,055.50x = 6,992,160.37
  5. Step 5: Solve for x
    x = 6,992,160.37/3,055.50
  6. Step 6: Final answer
    x = 2,288.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.