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Finding the Fourth Proportional to 1,254.14, 1,879.79 and 945.02

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Solution

The fourth proportional to 1,254.14, 1,879.79 and 945.02 is: 1,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.14 : 1,879.79 = 945.02 : x
  2. Step 2: Convert to fraction form
    1,254.14/1,879.79 = 945.02/x
  3. Step 3: Cross multiply
    1,254.14x = 1,879.79 × 945.02
  4. Step 4: Simplify right side
    1,254.14x = 1,776,432.07
  5. Step 5: Solve for x
    x = 1,776,432.07/1,254.14
  6. Step 6: Final answer
    x = 1,416.46

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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.