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Finding the Fourth Proportional to 1,893.15, 2,612.12 and 1,106.82

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Solution

The fourth proportional to 1,893.15, 2,612.12 and 1,106.82 is: 1,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.15 : 2,612.12 = 1,106.82 : x
  2. Step 2: Convert to fraction form
    1,893.15/2,612.12 = 1,106.82/x
  3. Step 3: Cross multiply
    1,893.15x = 2,612.12 × 1,106.82
  4. Step 4: Simplify right side
    1,893.15x = 2,891,141.12
  5. Step 5: Solve for x
    x = 2,891,141.12/1,893.15
  6. Step 6: Final answer
    x = 1,527.16

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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.