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Finding the Fourth Proportional to 4,176.48, 6,262.56 and 1,866

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Solution

The fourth proportional to 4,176.48, 6,262.56 and 1,866 is: 2,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.48 : 6,262.56 = 1,866 : x
  2. Step 2: Convert to fraction form
    4,176.48/6,262.56 = 1,866/x
  3. Step 3: Cross multiply
    4,176.48x = 6,262.56 × 1,866
  4. Step 4: Simplify right side
    4,176.48x = 11,685,936.96
  5. Step 5: Solve for x
    x = 11,685,936.96/4,176.48
  6. Step 6: Final answer
    x = 2,798.03

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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.