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Finding the Fourth Proportional to 3,034.67, 4,548.36 and 1,279.00

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Solution

The fourth proportional to 3,034.67, 4,548.36 and 1,279.00 is: 1,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.67 : 4,548.36 = 1,279.00 : x
  2. Step 2: Convert to fraction form
    3,034.67/4,548.36 = 1,279.00/x
  3. Step 3: Cross multiply
    3,034.67x = 4,548.36 × 1,279.00
  4. Step 4: Simplify right side
    3,034.67x = 5,817,341.07
  5. Step 5: Solve for x
    x = 5,817,341.07/3,034.67
  6. Step 6: Final answer
    x = 1,916.96

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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.