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Finding the Fourth Proportional to 2,998.54, 4,496.34 and 1,050.46

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Solution

The fourth proportional to 2,998.54, 4,496.34 and 1,050.46 is: 1,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.54 : 4,496.34 = 1,050.46 : x
  2. Step 2: Convert to fraction form
    2,998.54/4,496.34 = 1,050.46/x
  3. Step 3: Cross multiply
    2,998.54x = 4,496.34 × 1,050.46
  4. Step 4: Simplify right side
    2,998.54x = 4,723,225.32
  5. Step 5: Solve for x
    x = 4,723,225.32/2,998.54
  6. Step 6: Final answer
    x = 1,575.18

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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.