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Finding the Fourth Proportional to 2,114.92, 2,919 and 1,230.94

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Solution

The fourth proportional to 2,114.92, 2,919 and 1,230.94 is: 1,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.92 : 2,919 = 1,230.94 : x
  2. Step 2: Convert to fraction form
    2,114.92/2,919 = 1,230.94/x
  3. Step 3: Cross multiply
    2,114.92x = 2,919 × 1,230.94
  4. Step 4: Simplify right side
    2,114.92x = 3,593,113.86
  5. Step 5: Solve for x
    x = 3,593,113.86/2,114.92
  6. Step 6: Final answer
    x = 1,698.94

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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.