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Finding the Fourth Proportional to 2,998.85, 4,496.15 and 1,148.40

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Solution

The fourth proportional to 2,998.85, 4,496.15 and 1,148.40 is: 1,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.85 : 4,496.15 = 1,148.40 : x
  2. Step 2: Convert to fraction form
    2,998.85/4,496.15 = 1,148.40/x
  3. Step 3: Cross multiply
    2,998.85x = 4,496.15 × 1,148.40
  4. Step 4: Simplify right side
    2,998.85x = 5,163,386.10
  5. Step 5: Solve for x
    x = 5,163,386.10/2,998.85
  6. Step 6: Final answer
    x = 1,721.79

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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.