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Finding the Fourth Proportional to 2,846.34, 4,268.16 and 1,113.75

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Solution

The fourth proportional to 2,846.34, 4,268.16 and 1,113.75 is: 1,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.34 : 4,268.16 = 1,113.75 : x
  2. Step 2: Convert to fraction form
    2,846.34/4,268.16 = 1,113.75/x
  3. Step 3: Cross multiply
    2,846.34x = 4,268.16 × 1,113.75
  4. Step 4: Simplify right side
    2,846.34x = 4,753,663.20
  5. Step 5: Solve for x
    x = 4,753,663.20/2,846.34
  6. Step 6: Final answer
    x = 1,670.10

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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.