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Finding the Fourth Proportional to 1,895.65, 2,844.39 and 856.39

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Solution

The fourth proportional to 1,895.65, 2,844.39 and 856.39 is: 1,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.65 : 2,844.39 = 856.39 : x
  2. Step 2: Convert to fraction form
    1,895.65/2,844.39 = 856.39/x
  3. Step 3: Cross multiply
    1,895.65x = 2,844.39 × 856.39
  4. Step 4: Simplify right side
    1,895.65x = 2,435,907.15
  5. Step 5: Solve for x
    x = 2,435,907.15/1,895.65
  6. Step 6: Final answer
    x = 1,285.00

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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.