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Finding the Fourth Proportional to 2,998.05, 4,495.69 and 1,023.15

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Solution

The fourth proportional to 2,998.05, 4,495.69 and 1,023.15 is: 1,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.05 : 4,495.69 = 1,023.15 : x
  2. Step 2: Convert to fraction form
    2,998.05/4,495.69 = 1,023.15/x
  3. Step 3: Cross multiply
    2,998.05x = 4,495.69 × 1,023.15
  4. Step 4: Simplify right side
    2,998.05x = 4,599,752.32
  5. Step 5: Solve for x
    x = 4,599,752.32/2,998.05
  6. Step 6: Final answer
    x = 1,534.25

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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.