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Finding the Fourth Proportional to 4,176.99, 6,266.72 and 1,580.13

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Solution

The fourth proportional to 4,176.99, 6,266.72 and 1,580.13 is: 2,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.99 : 6,266.72 = 1,580.13 : x
  2. Step 2: Convert to fraction form
    4,176.99/6,266.72 = 1,580.13/x
  3. Step 3: Cross multiply
    4,176.99x = 6,266.72 × 1,580.13
  4. Step 4: Simplify right side
    4,176.99x = 9,902,232.27
  5. Step 5: Solve for x
    x = 9,902,232.27/4,176.99
  6. Step 6: Final answer
    x = 2,370.66

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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.