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Finding the Fourth Proportional to 2,116.12, 2,920.98 and 1,453

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Solution

The fourth proportional to 2,116.12, 2,920.98 and 1,453 is: 2,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.12 : 2,920.98 = 1,453 : x
  2. Step 2: Convert to fraction form
    2,116.12/2,920.98 = 1,453/x
  3. Step 3: Cross multiply
    2,116.12x = 2,920.98 × 1,453
  4. Step 4: Simplify right side
    2,116.12x = 4,244,183.94
  5. Step 5: Solve for x
    x = 4,244,183.94/2,116.12
  6. Step 6: Final answer
    x = 2,005.64

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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.