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Finding the Fourth Proportional to 2,268.16, 3,403.20 and 970.24

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Solution

The fourth proportional to 2,268.16, 3,403.20 and 970.24 is: 1,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.16 : 3,403.20 = 970.24 : x
  2. Step 2: Convert to fraction form
    2,268.16/3,403.20 = 970.24/x
  3. Step 3: Cross multiply
    2,268.16x = 3,403.20 × 970.24
  4. Step 4: Simplify right side
    2,268.16x = 3,301,920.77
  5. Step 5: Solve for x
    x = 3,301,920.77/2,268.16
  6. Step 6: Final answer
    x = 1,455.77

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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.