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Finding the Fourth Proportional to 3,266.64, 4,901.76 and 1,419.12

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Solution

The fourth proportional to 3,266.64, 4,901.76 and 1,419.12 is: 2,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,901.76 = 1,419.12 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,901.76 = 1,419.12/x
  3. Step 3: Cross multiply
    3,266.64x = 4,901.76 × 1,419.12
  4. Step 4: Simplify right side
    3,266.64x = 6,956,185.65
  5. Step 5: Solve for x
    x = 6,956,185.65/3,266.64
  6. Step 6: Final answer
    x = 2,129.46

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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.