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Finding the Fourth Proportional to 1,958.82, 2,703.06 and 1,074.45

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Solution

The fourth proportional to 1,958.82, 2,703.06 and 1,074.45 is: 1,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.82 : 2,703.06 = 1,074.45 : x
  2. Step 2: Convert to fraction form
    1,958.82/2,703.06 = 1,074.45/x
  3. Step 3: Cross multiply
    1,958.82x = 2,703.06 × 1,074.45
  4. Step 4: Simplify right side
    1,958.82x = 2,904,302.82
  5. Step 5: Solve for x
    x = 2,904,302.82/1,958.82
  6. Step 6: Final answer
    x = 1,482.68

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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.