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Finding the Fourth Proportional to 2,305.22, 3,457.80 and 661.77

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Solution

The fourth proportional to 2,305.22, 3,457.80 and 661.77 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.22 : 3,457.80 = 661.77 : x
  2. Step 2: Convert to fraction form
    2,305.22/3,457.80 = 661.77/x
  3. Step 3: Cross multiply
    2,305.22x = 3,457.80 × 661.77
  4. Step 4: Simplify right side
    2,305.22x = 2,288,268.31
  5. Step 5: Solve for x
    x = 2,288,268.31/2,305.22
  6. Step 6: Final answer
    x = 992.65

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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.