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Finding the Fourth Proportional to 4,616.19, 6,922.74 and 1,495.37

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Solution

The fourth proportional to 4,616.19, 6,922.74 and 1,495.37 is: 2,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.19 : 6,922.74 = 1,495.37 : x
  2. Step 2: Convert to fraction form
    4,616.19/6,922.74 = 1,495.37/x
  3. Step 3: Cross multiply
    4,616.19x = 6,922.74 × 1,495.37
  4. Step 4: Simplify right side
    4,616.19x = 10,352,023.10
  5. Step 5: Solve for x
    x = 10,352,023.10/4,616.19
  6. Step 6: Final answer
    x = 2,242.55

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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.