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Finding the Fourth Proportional to 3,390.64, 4,676.98 and 2,065.24

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Solution

The fourth proportional to 3,390.64, 4,676.98 and 2,065.24 is: 2,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.64 : 4,676.98 = 2,065.24 : x
  2. Step 2: Convert to fraction form
    3,390.64/4,676.98 = 2,065.24/x
  3. Step 3: Cross multiply
    3,390.64x = 4,676.98 × 2,065.24
  4. Step 4: Simplify right side
    3,390.64x = 9,659,086.18
  5. Step 5: Solve for x
    x = 9,659,086.18/3,390.64
  6. Step 6: Final answer
    x = 2,848.75

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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.