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Finding the Fourth Proportional to 4,177.69, 6,266.53 and 1,256.00

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Solution

The fourth proportional to 4,177.69, 6,266.53 and 1,256.00 is: 1,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.69 : 6,266.53 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    4,177.69/6,266.53 = 1,256.00/x
  3. Step 3: Cross multiply
    4,177.69x = 6,266.53 × 1,256.00
  4. Step 4: Simplify right side
    4,177.69x = 7,870,731.92
  5. Step 5: Solve for x
    x = 7,870,731.92/4,177.69
  6. Step 6: Final answer
    x = 1,883.99

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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.