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Finding the Fourth Proportional to 1,879.40, 2,588.28 and 1,630.64

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Solution

The fourth proportional to 1,879.40, 2,588.28 and 1,630.64 is: 2,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.40 : 2,588.28 = 1,630.64 : x
  2. Step 2: Convert to fraction form
    1,879.40/2,588.28 = 1,630.64/x
  3. Step 3: Cross multiply
    1,879.40x = 2,588.28 × 1,630.64
  4. Step 4: Simplify right side
    1,879.40x = 4,220,552.90
  5. Step 5: Solve for x
    x = 4,220,552.90/1,879.40
  6. Step 6: Final answer
    x = 2,245.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.