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Finding the Fourth Proportional to 2,378.07, 3,558.20 and 1,649.07

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Solution

The fourth proportional to 2,378.07, 3,558.20 and 1,649.07 is: 2,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.07 : 3,558.20 = 1,649.07 : x
  2. Step 2: Convert to fraction form
    2,378.07/3,558.20 = 1,649.07/x
  3. Step 3: Cross multiply
    2,378.07x = 3,558.20 × 1,649.07
  4. Step 4: Simplify right side
    2,378.07x = 5,867,712.63
  5. Step 5: Solve for x
    x = 5,867,712.63/2,378.07
  6. Step 6: Final answer
    x = 2,467.43

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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.