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Finding the Fourth Proportional to 2,448.04, 3,671.42 and 946.75

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Solution

The fourth proportional to 2,448.04, 3,671.42 and 946.75 is: 1,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.04 : 3,671.42 = 946.75 : x
  2. Step 2: Convert to fraction form
    2,448.04/3,671.42 = 946.75/x
  3. Step 3: Cross multiply
    2,448.04x = 3,671.42 × 946.75
  4. Step 4: Simplify right side
    2,448.04x = 3,475,924.34
  5. Step 5: Solve for x
    x = 3,475,924.34/2,448.04
  6. Step 6: Final answer
    x = 1,419.88

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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.