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Finding the Fourth Proportional to 2,646.63, 3,650.94 and 1,761.30

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Solution

The fourth proportional to 2,646.63, 3,650.94 and 1,761.30 is: 2,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.63 : 3,650.94 = 1,761.30 : x
  2. Step 2: Convert to fraction form
    2,646.63/3,650.94 = 1,761.30/x
  3. Step 3: Cross multiply
    2,646.63x = 3,650.94 × 1,761.30
  4. Step 4: Simplify right side
    2,646.63x = 6,430,400.62
  5. Step 5: Solve for x
    x = 6,430,400.62/2,646.63
  6. Step 6: Final answer
    x = 2,429.66

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1.5x scale

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.