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Finding the Fourth Proportional to 1,364.57, 2,043.73 and 1,071.40

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Solution

The fourth proportional to 1,364.57, 2,043.73 and 1,071.40 is: 1,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.57 : 2,043.73 = 1,071.40 : x
  2. Step 2: Convert to fraction form
    1,364.57/2,043.73 = 1,071.40/x
  3. Step 3: Cross multiply
    1,364.57x = 2,043.73 × 1,071.40
  4. Step 4: Simplify right side
    1,364.57x = 2,189,652.32
  5. Step 5: Solve for x
    x = 2,189,652.32/1,364.57
  6. Step 6: Final answer
    x = 1,604.65

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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.