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Finding the Fourth Proportional to 1,578.35, 2,179.01 and 1,047.95

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Solution

The fourth proportional to 1,578.35, 2,179.01 and 1,047.95 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.35 : 2,179.01 = 1,047.95 : x
  2. Step 2: Convert to fraction form
    1,578.35/2,179.01 = 1,047.95/x
  3. Step 3: Cross multiply
    1,578.35x = 2,179.01 × 1,047.95
  4. Step 4: Simplify right side
    1,578.35x = 2,283,477.39
  5. Step 5: Solve for x
    x = 2,283,477.39/1,578.35
  6. Step 6: Final answer
    x = 1,446.75

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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.