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Finding the Fourth Proportional to 1,620, 2,418.72 and 1,376.64

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Solution

The fourth proportional to 1,620, 2,418.72 and 1,376.64 is: 2,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,418.72 = 1,376.64 : x
  2. Step 2: Convert to fraction form
    1,620/2,418.72 = 1,376.64/x
  3. Step 3: Cross multiply
    1,620x = 2,418.72 × 1,376.64
  4. Step 4: Simplify right side
    1,620x = 3,329,706.70
  5. Step 5: Solve for x
    x = 3,329,706.70/1,620
  6. Step 6: Final answer
    x = 2,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.