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Finding the Fourth Proportional to 2,412.19, 3,616.09 and 951

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Solution

The fourth proportional to 2,412.19, 3,616.09 and 951 is: 1,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.19 : 3,616.09 = 951 : x
  2. Step 2: Convert to fraction form
    2,412.19/3,616.09 = 951/x
  3. Step 3: Cross multiply
    2,412.19x = 3,616.09 × 951
  4. Step 4: Simplify right side
    2,412.19x = 3,438,901.59
  5. Step 5: Solve for x
    x = 3,438,901.59/2,412.19
  6. Step 6: Final answer
    x = 1,425.63

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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.