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Finding the Fourth Proportional to 1,442.81, 1,991.08 and 1,071.55

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Solution

The fourth proportional to 1,442.81, 1,991.08 and 1,071.55 is: 1,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 1,991.08 = 1,071.55 : x
  2. Step 2: Convert to fraction form
    1,442.81/1,991.08 = 1,071.55/x
  3. Step 3: Cross multiply
    1,442.81x = 1,991.08 × 1,071.55
  4. Step 4: Simplify right side
    1,442.81x = 2,133,551.20
  5. Step 5: Solve for x
    x = 2,133,551.20/1,442.81
  6. Step 6: Final answer
    x = 1,478.74

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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.