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Finding the Fourth Proportional to 4,616, 6,924.16 and 1,880

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Solution

The fourth proportional to 4,616, 6,924.16 and 1,880 is: 2,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 6,924.16 = 1,880 : x
  2. Step 2: Convert to fraction form
    4,616/6,924.16 = 1,880/x
  3. Step 3: Cross multiply
    4,616x = 6,924.16 × 1,880
  4. Step 4: Simplify right side
    4,616x = 13,017,420.80
  5. Step 5: Solve for x
    x = 13,017,420.80/4,616
  6. Step 6: Final answer
    x = 2,820.07

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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.