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Finding the Fourth Proportional to 2,971.69, 4,458.34 and 1,239.91

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Solution

The fourth proportional to 2,971.69, 4,458.34 and 1,239.91 is: 1,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.69 : 4,458.34 = 1,239.91 : x
  2. Step 2: Convert to fraction form
    2,971.69/4,458.34 = 1,239.91/x
  3. Step 3: Cross multiply
    2,971.69x = 4,458.34 × 1,239.91
  4. Step 4: Simplify right side
    2,971.69x = 5,527,926.10
  5. Step 5: Solve for x
    x = 5,527,926.10/2,971.69
  6. Step 6: Final answer
    x = 1,860.20

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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.