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Finding the Fourth Proportional to 3,380.47, 4,666.49 and 2,054.60

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Solution

The fourth proportional to 3,380.47, 4,666.49 and 2,054.60 is: 2,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.47 : 4,666.49 = 2,054.60 : x
  2. Step 2: Convert to fraction form
    3,380.47/4,666.49 = 2,054.60/x
  3. Step 3: Cross multiply
    3,380.47x = 4,666.49 × 2,054.60
  4. Step 4: Simplify right side
    3,380.47x = 9,587,779.45
  5. Step 5: Solve for x
    x = 9,587,779.45/3,380.47
  6. Step 6: Final answer
    x = 2,836.23

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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.