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Finding the Fourth Proportional to 1,384.56, 2,070.63 and 1,255.37

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Solution

The fourth proportional to 1,384.56, 2,070.63 and 1,255.37 is: 1,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 2,070.63 = 1,255.37 : x
  2. Step 2: Convert to fraction form
    1,384.56/2,070.63 = 1,255.37/x
  3. Step 3: Cross multiply
    1,384.56x = 2,070.63 × 1,255.37
  4. Step 4: Simplify right side
    1,384.56x = 2,599,396.43
  5. Step 5: Solve for x
    x = 2,599,396.43/1,384.56
  6. Step 6: Final answer
    x = 1,877.42

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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.