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Finding the Fourth Proportional to 1,427.40, 2,143.30 and 779.40

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Solution

The fourth proportional to 1,427.40, 2,143.30 and 779.40 is: 1,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 2,143.30 = 779.40 : x
  2. Step 2: Convert to fraction form
    1,427.40/2,143.30 = 779.40/x
  3. Step 3: Cross multiply
    1,427.40x = 2,143.30 × 779.40
  4. Step 4: Simplify right side
    1,427.40x = 1,670,488.02
  5. Step 5: Solve for x
    x = 1,670,488.02/1,427.40
  6. Step 6: Final answer
    x = 1,170.30

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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.