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Finding the Fourth Proportional to 2,419.63, 3,339.32 and 1,425.22

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Solution

The fourth proportional to 2,419.63, 3,339.32 and 1,425.22 is: 1,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.63 : 3,339.32 = 1,425.22 : x
  2. Step 2: Convert to fraction form
    2,419.63/3,339.32 = 1,425.22/x
  3. Step 3: Cross multiply
    2,419.63x = 3,339.32 × 1,425.22
  4. Step 4: Simplify right side
    2,419.63x = 4,759,265.65
  5. Step 5: Solve for x
    x = 4,759,265.65/2,419.63
  6. Step 6: Final answer
    x = 1,966.94

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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.