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Finding the Fourth Proportional to 2,447.70, 3,669.12 and 1,406.45

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Solution

The fourth proportional to 2,447.70, 3,669.12 and 1,406.45 is: 2,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.70 : 3,669.12 = 1,406.45 : x
  2. Step 2: Convert to fraction form
    2,447.70/3,669.12 = 1,406.45/x
  3. Step 3: Cross multiply
    2,447.70x = 3,669.12 × 1,406.45
  4. Step 4: Simplify right side
    2,447.70x = 5,160,415.48
  5. Step 5: Solve for x
    x = 5,160,415.48/2,447.70
  6. Step 6: Final answer
    x = 2,108.27

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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.