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Finding the Fourth Proportional to 1,895.45, 2,840.42 and 1,017.26

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Solution

The fourth proportional to 1,895.45, 2,840.42 and 1,017.26 is: 1,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.45 : 2,840.42 = 1,017.26 : x
  2. Step 2: Convert to fraction form
    1,895.45/2,840.42 = 1,017.26/x
  3. Step 3: Cross multiply
    1,895.45x = 2,840.42 × 1,017.26
  4. Step 4: Simplify right side
    1,895.45x = 2,889,438.92
  5. Step 5: Solve for x
    x = 2,889,438.92/1,895.45
  6. Step 6: Final answer
    x = 1,524.41

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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.