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Finding the Fourth Proportional to 2,709.54, 4,064.81 and 860.45

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Solution

The fourth proportional to 2,709.54, 4,064.81 and 860.45 is: 1,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.54 : 4,064.81 = 860.45 : x
  2. Step 2: Convert to fraction form
    2,709.54/4,064.81 = 860.45/x
  3. Step 3: Cross multiply
    2,709.54x = 4,064.81 × 860.45
  4. Step 4: Simplify right side
    2,709.54x = 3,497,541.14
  5. Step 5: Solve for x
    x = 3,497,541.14/2,709.54
  6. Step 6: Final answer
    x = 1,290.82

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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.