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Finding the Fourth Proportional to 3,211.74, 4,813.94 and 1,458.08

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Solution

The fourth proportional to 3,211.74, 4,813.94 and 1,458.08 is: 2,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.74 : 4,813.94 = 1,458.08 : x
  2. Step 2: Convert to fraction form
    3,211.74/4,813.94 = 1,458.08/x
  3. Step 3: Cross multiply
    3,211.74x = 4,813.94 × 1,458.08
  4. Step 4: Simplify right side
    3,211.74x = 7,019,109.64
  5. Step 5: Solve for x
    x = 7,019,109.64/3,211.74
  6. Step 6: Final answer
    x = 2,185.45

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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.