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Finding the Fourth Proportional to 3,515.90, 4,851.93 and 1,944

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Solution

The fourth proportional to 3,515.90, 4,851.93 and 1,944 is: 2,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.90 : 4,851.93 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,515.90/4,851.93 = 1,944/x
  3. Step 3: Cross multiply
    3,515.90x = 4,851.93 × 1,944
  4. Step 4: Simplify right side
    3,515.90x = 9,432,151.92
  5. Step 5: Solve for x
    x = 9,432,151.92/3,515.90
  6. Step 6: Final answer
    x = 2,682.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.