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Finding the Fourth Proportional to 2,879.64, 4,318.34 and 1,030.20

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Solution

The fourth proportional to 2,879.64, 4,318.34 and 1,030.20 is: 1,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.64 : 4,318.34 = 1,030.20 : x
  2. Step 2: Convert to fraction form
    2,879.64/4,318.34 = 1,030.20/x
  3. Step 3: Cross multiply
    2,879.64x = 4,318.34 × 1,030.20
  4. Step 4: Simplify right side
    2,879.64x = 4,448,748.72
  5. Step 5: Solve for x
    x = 4,448,748.72/2,879.64
  6. Step 6: Final answer
    x = 1,544.90

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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.