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Finding the Fourth Proportional to 1,473.98, 2,208.22 and 741.78

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Solution

The fourth proportional to 1,473.98, 2,208.22 and 741.78 is: 1,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.98 : 2,208.22 = 741.78 : x
  2. Step 2: Convert to fraction form
    1,473.98/2,208.22 = 741.78/x
  3. Step 3: Cross multiply
    1,473.98x = 2,208.22 × 741.78
  4. Step 4: Simplify right side
    1,473.98x = 1,638,013.43
  5. Step 5: Solve for x
    x = 1,638,013.43/1,473.98
  6. Step 6: Final answer
    x = 1,111.29

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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.