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Finding the Fourth Proportional to 3,338.64, 4,607.13 and 1,846.46

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Solution

The fourth proportional to 3,338.64, 4,607.13 and 1,846.46 is: 2,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.64 : 4,607.13 = 1,846.46 : x
  2. Step 2: Convert to fraction form
    3,338.64/4,607.13 = 1,846.46/x
  3. Step 3: Cross multiply
    3,338.64x = 4,607.13 × 1,846.46
  4. Step 4: Simplify right side
    3,338.64x = 8,506,858.22
  5. Step 5: Solve for x
    x = 8,506,858.22/3,338.64
  6. Step 6: Final answer
    x = 2,548.00

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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.