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Finding the Fourth Proportional to 4,308.53, 6,461.97 and 1,187.76

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Solution

The fourth proportional to 4,308.53, 6,461.97 and 1,187.76 is: 1,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.53 : 6,461.97 = 1,187.76 : x
  2. Step 2: Convert to fraction form
    4,308.53/6,461.97 = 1,187.76/x
  3. Step 3: Cross multiply
    4,308.53x = 6,461.97 × 1,187.76
  4. Step 4: Simplify right side
    4,308.53x = 7,675,269.49
  5. Step 5: Solve for x
    x = 7,675,269.49/4,308.53
  6. Step 6: Final answer
    x = 1,781.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.