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Finding the Fourth Proportional to 2,268.76, 3,404.76 and 971.16

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Solution

The fourth proportional to 2,268.76, 3,404.76 and 971.16 is: 1,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.76 : 3,404.76 = 971.16 : x
  2. Step 2: Convert to fraction form
    2,268.76/3,404.76 = 971.16/x
  3. Step 3: Cross multiply
    2,268.76x = 3,404.76 × 971.16
  4. Step 4: Simplify right side
    2,268.76x = 3,306,566.72
  5. Step 5: Solve for x
    x = 3,306,566.72/2,268.76
  6. Step 6: Final answer
    x = 1,457.43

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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.