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Finding the Fourth Proportional to 1,443.10, 1,991.55 and 883.84

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Solution

The fourth proportional to 1,443.10, 1,991.55 and 883.84 is: 1,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.10 : 1,991.55 = 883.84 : x
  2. Step 2: Convert to fraction form
    1,443.10/1,991.55 = 883.84/x
  3. Step 3: Cross multiply
    1,443.10x = 1,991.55 × 883.84
  4. Step 4: Simplify right side
    1,443.10x = 1,760,211.55
  5. Step 5: Solve for x
    x = 1,760,211.55/1,443.10
  6. Step 6: Final answer
    x = 1,219.74

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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.