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Finding the Fourth Proportional to 3,338.12, 4,606.57 and 1,846

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Solution

The fourth proportional to 3,338.12, 4,606.57 and 1,846 is: 2,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.12 : 4,606.57 = 1,846 : x
  2. Step 2: Convert to fraction form
    3,338.12/4,606.57 = 1,846/x
  3. Step 3: Cross multiply
    3,338.12x = 4,606.57 × 1,846
  4. Step 4: Simplify right side
    3,338.12x = 8,503,728.22
  5. Step 5: Solve for x
    x = 8,503,728.22/3,338.12
  6. Step 6: Final answer
    x = 2,547.46

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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.