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Finding the Fourth Proportional to 1,254.15, 1,879.20 and 1,047.60

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Solution

The fourth proportional to 1,254.15, 1,879.20 and 1,047.60 is: 1,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.15 : 1,879.20 = 1,047.60 : x
  2. Step 2: Convert to fraction form
    1,254.15/1,879.20 = 1,047.60/x
  3. Step 3: Cross multiply
    1,254.15x = 1,879.20 × 1,047.60
  4. Step 4: Simplify right side
    1,254.15x = 1,968,649.92
  5. Step 5: Solve for x
    x = 1,968,649.92/1,254.15
  6. Step 6: Final answer
    x = 1,569.71

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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.