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Finding the Fourth Proportional to 1,874.88, 2,811.72 and 1,296

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Solution

The fourth proportional to 1,874.88, 2,811.72 and 1,296 is: 1,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.88 : 2,811.72 = 1,296 : x
  2. Step 2: Convert to fraction form
    1,874.88/2,811.72 = 1,296/x
  3. Step 3: Cross multiply
    1,874.88x = 2,811.72 × 1,296
  4. Step 4: Simplify right side
    1,874.88x = 3,643,989.12
  5. Step 5: Solve for x
    x = 3,643,989.12/1,874.88
  6. Step 6: Final answer
    x = 1,943.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.