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Finding the Fourth Proportional to 2,969.60, 4,449.54 and 2,102.36

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Solution

The fourth proportional to 2,969.60, 4,449.54 and 2,102.36 is: 3,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.60 : 4,449.54 = 2,102.36 : x
  2. Step 2: Convert to fraction form
    2,969.60/4,449.54 = 2,102.36/x
  3. Step 3: Cross multiply
    2,969.60x = 4,449.54 × 2,102.36
  4. Step 4: Simplify right side
    2,969.60x = 9,354,534.91
  5. Step 5: Solve for x
    x = 9,354,534.91/2,969.60
  6. Step 6: Final answer
    x = 3,150.10

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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.