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Finding the Fourth Proportional to 2,646.37, 3,970.44 and 1,003.39

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Solution

The fourth proportional to 2,646.37, 3,970.44 and 1,003.39 is: 1,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.37 : 3,970.44 = 1,003.39 : x
  2. Step 2: Convert to fraction form
    2,646.37/3,970.44 = 1,003.39/x
  3. Step 3: Cross multiply
    2,646.37x = 3,970.44 × 1,003.39
  4. Step 4: Simplify right side
    2,646.37x = 3,983,899.79
  5. Step 5: Solve for x
    x = 3,983,899.79/2,646.37
  6. Step 6: Final answer
    x = 1,505.42

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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.