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Finding the Fourth Proportional to 2,998.34, 4,493.33 and 1,534.40

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Solution

The fourth proportional to 2,998.34, 4,493.33 and 1,534.40 is: 2,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.34 : 4,493.33 = 1,534.40 : x
  2. Step 2: Convert to fraction form
    2,998.34/4,493.33 = 1,534.40/x
  3. Step 3: Cross multiply
    2,998.34x = 4,493.33 × 1,534.40
  4. Step 4: Simplify right side
    2,998.34x = 6,894,557.88
  5. Step 5: Solve for x
    x = 6,894,557.88/2,998.34
  6. Step 6: Final answer
    x = 2,299.46

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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.