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Finding the Fourth Proportional to 2,448.42, 3,671.86 and 804.59

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Solution

The fourth proportional to 2,448.42, 3,671.86 and 804.59 is: 1,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.42 : 3,671.86 = 804.59 : x
  2. Step 2: Convert to fraction form
    2,448.42/3,671.86 = 804.59/x
  3. Step 3: Cross multiply
    2,448.42x = 3,671.86 × 804.59
  4. Step 4: Simplify right side
    2,448.42x = 2,954,341.84
  5. Step 5: Solve for x
    x = 2,954,341.84/2,448.42
  6. Step 6: Final answer
    x = 1,206.63

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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.