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Finding the Fourth Proportional to 3,431, 4,735.60 and 2,034.56

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Solution

The fourth proportional to 3,431, 4,735.60 and 2,034.56 is: 2,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431 : 4,735.60 = 2,034.56 : x
  2. Step 2: Convert to fraction form
    3,431/4,735.60 = 2,034.56/x
  3. Step 3: Cross multiply
    3,431x = 4,735.60 × 2,034.56
  4. Step 4: Simplify right side
    3,431x = 9,634,862.34
  5. Step 5: Solve for x
    x = 9,634,862.34/3,431
  6. Step 6: Final answer
    x = 2,808.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.