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Finding the Fourth Proportional to 1,400.19, 2,100.69 and 578.31

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Solution

The fourth proportional to 1,400.19, 2,100.69 and 578.31 is: 867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.19 : 2,100.69 = 578.31 : x
  2. Step 2: Convert to fraction form
    1,400.19/2,100.69 = 578.31/x
  3. Step 3: Cross multiply
    1,400.19x = 2,100.69 × 578.31
  4. Step 4: Simplify right side
    1,400.19x = 1,214,850.03
  5. Step 5: Solve for x
    x = 1,214,850.03/1,400.19
  6. Step 6: Final answer
    x = 867.63

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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.