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Finding the Fourth Proportional to 3,371.48, 5,056.26 and 1,319

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Solution

The fourth proportional to 3,371.48, 5,056.26 and 1,319 is: 1,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.48 : 5,056.26 = 1,319 : x
  2. Step 2: Convert to fraction form
    3,371.48/5,056.26 = 1,319/x
  3. Step 3: Cross multiply
    3,371.48x = 5,056.26 × 1,319
  4. Step 4: Simplify right side
    3,371.48x = 6,669,206.94
  5. Step 5: Solve for x
    x = 6,669,206.94/3,371.48
  6. Step 6: Final answer
    x = 1,978.12

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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.