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Finding the Fourth Proportional to 1,763.40, 2,647.16 and 1,399.82

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Solution

The fourth proportional to 1,763.40, 2,647.16 and 1,399.82 is: 2,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.40 : 2,647.16 = 1,399.82 : x
  2. Step 2: Convert to fraction form
    1,763.40/2,647.16 = 1,399.82/x
  3. Step 3: Cross multiply
    1,763.40x = 2,647.16 × 1,399.82
  4. Step 4: Simplify right side
    1,763.40x = 3,705,527.28
  5. Step 5: Solve for x
    x = 3,705,527.28/1,763.40
  6. Step 6: Final answer
    x = 2,101.35

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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.