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Finding the Fourth Proportional to 1,650.87, 2,477.30 and 610.70

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Solution

The fourth proportional to 1,650.87, 2,477.30 and 610.70 is: 916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.87 : 2,477.30 = 610.70 : x
  2. Step 2: Convert to fraction form
    1,650.87/2,477.30 = 610.70/x
  3. Step 3: Cross multiply
    1,650.87x = 2,477.30 × 610.70
  4. Step 4: Simplify right side
    1,650.87x = 1,512,871.67
  5. Step 5: Solve for x
    x = 1,512,871.67/1,650.87
  6. Step 6: Final answer
    x = 916.41

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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.