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Finding the Fourth Proportional to 3,457.80, 4,771.52 and 1,965.74

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Solution

The fourth proportional to 3,457.80, 4,771.52 and 1,965.74 is: 2,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.80 : 4,771.52 = 1,965.74 : x
  2. Step 2: Convert to fraction form
    3,457.80/4,771.52 = 1,965.74/x
  3. Step 3: Cross multiply
    3,457.80x = 4,771.52 × 1,965.74
  4. Step 4: Simplify right side
    3,457.80x = 9,379,567.72
  5. Step 5: Solve for x
    x = 9,379,567.72/3,457.80
  6. Step 6: Final answer
    x = 2,712.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.