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Finding the Fourth Proportional to 2,855.40, 4,280.02 and 1,296.24

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Solution

The fourth proportional to 2,855.40, 4,280.02 and 1,296.24 is: 1,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.40 : 4,280.02 = 1,296.24 : x
  2. Step 2: Convert to fraction form
    2,855.40/4,280.02 = 1,296.24/x
  3. Step 3: Cross multiply
    2,855.40x = 4,280.02 × 1,296.24
  4. Step 4: Simplify right side
    2,855.40x = 5,547,933.12
  5. Step 5: Solve for x
    x = 5,547,933.12/2,855.40
  6. Step 6: Final answer
    x = 1,942.96

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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.