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Finding the Fourth Proportional to 2,140.64, 2,954.03 and 1,196.44

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Solution

The fourth proportional to 2,140.64, 2,954.03 and 1,196.44 is: 1,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.64 : 2,954.03 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    2,140.64/2,954.03 = 1,196.44/x
  3. Step 3: Cross multiply
    2,140.64x = 2,954.03 × 1,196.44
  4. Step 4: Simplify right side
    2,140.64x = 3,534,322.71
  5. Step 5: Solve for x
    x = 3,534,322.71/2,140.64
  6. Step 6: Final answer
    x = 1,651.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.