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Finding the Fourth Proportional to 2,268.28, 3,400.58 and 970.66

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Solution

The fourth proportional to 2,268.28, 3,400.58 and 970.66 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.28 : 3,400.58 = 970.66 : x
  2. Step 2: Convert to fraction form
    2,268.28/3,400.58 = 970.66/x
  3. Step 3: Cross multiply
    2,268.28x = 3,400.58 × 970.66
  4. Step 4: Simplify right side
    2,268.28x = 3,300,804.10
  5. Step 5: Solve for x
    x = 3,300,804.10/2,268.28
  6. Step 6: Final answer
    x = 1,455.20

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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.