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Finding the Fourth Proportional to 3,104.03, 4,656.05 and 1,458.65

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Solution

The fourth proportional to 3,104.03, 4,656.05 and 1,458.65 is: 2,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.03 : 4,656.05 = 1,458.65 : x
  2. Step 2: Convert to fraction form
    3,104.03/4,656.05 = 1,458.65/x
  3. Step 3: Cross multiply
    3,104.03x = 4,656.05 × 1,458.65
  4. Step 4: Simplify right side
    3,104.03x = 6,791,516.76
  5. Step 5: Solve for x
    x = 6,791,516.76/3,104.03
  6. Step 6: Final answer
    x = 2,187.97

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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.