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Finding the Fourth Proportional to 1,471.07, 2,206.34 and 855.98

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Solution

The fourth proportional to 1,471.07, 2,206.34 and 855.98 is: 1,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.07 : 2,206.34 = 855.98 : x
  2. Step 2: Convert to fraction form
    1,471.07/2,206.34 = 855.98/x
  3. Step 3: Cross multiply
    1,471.07x = 2,206.34 × 855.98
  4. Step 4: Simplify right side
    1,471.07x = 1,888,567.60
  5. Step 5: Solve for x
    x = 1,888,567.60/1,471.07
  6. Step 6: Final answer
    x = 1,283.81

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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.