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Finding the Fourth Proportional to 2,461.87, 3,688.70 and 1,767.50

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Solution

The fourth proportional to 2,461.87, 3,688.70 and 1,767.50 is: 2,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.87 : 3,688.70 = 1,767.50 : x
  2. Step 2: Convert to fraction form
    2,461.87/3,688.70 = 1,767.50/x
  3. Step 3: Cross multiply
    2,461.87x = 3,688.70 × 1,767.50
  4. Step 4: Simplify right side
    2,461.87x = 6,519,777.25
  5. Step 5: Solve for x
    x = 6,519,777.25/2,461.87
  6. Step 6: Final answer
    x = 2,648.30

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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.