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Finding the Fourth Proportional to 2,620, 3,616.41 and 1,688.50

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Solution

The fourth proportional to 2,620, 3,616.41 and 1,688.50 is: 2,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620 : 3,616.41 = 1,688.50 : x
  2. Step 2: Convert to fraction form
    2,620/3,616.41 = 1,688.50/x
  3. Step 3: Cross multiply
    2,620x = 3,616.41 × 1,688.50
  4. Step 4: Simplify right side
    2,620x = 6,106,308.29
  5. Step 5: Solve for x
    x = 6,106,308.29/2,620
  6. Step 6: Final answer
    x = 2,330.65

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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.