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Finding the Fourth Proportional to 1,364.40, 2,047.92 and 1,290.40

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Solution

The fourth proportional to 1,364.40, 2,047.92 and 1,290.40 is: 1,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.40 : 2,047.92 = 1,290.40 : x
  2. Step 2: Convert to fraction form
    1,364.40/2,047.92 = 1,290.40/x
  3. Step 3: Cross multiply
    1,364.40x = 2,047.92 × 1,290.40
  4. Step 4: Simplify right side
    1,364.40x = 2,642,635.97
  5. Step 5: Solve for x
    x = 2,642,635.97/1,364.40
  6. Step 6: Final answer
    x = 1,936.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.