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Finding the Fourth Proportional to 2,690.16, 4,035.86 and 1,304.16

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Solution

The fourth proportional to 2,690.16, 4,035.86 and 1,304.16 is: 1,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.16 : 4,035.86 = 1,304.16 : x
  2. Step 2: Convert to fraction form
    2,690.16/4,035.86 = 1,304.16/x
  3. Step 3: Cross multiply
    2,690.16x = 4,035.86 × 1,304.16
  4. Step 4: Simplify right side
    2,690.16x = 5,263,407.18
  5. Step 5: Solve for x
    x = 5,263,407.18/2,690.16
  6. Step 6: Final answer
    x = 1,956.54

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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.