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Finding the Fourth Proportional to 1,893.58, 2,612.30 and 1,184.98

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Solution

The fourth proportional to 1,893.58, 2,612.30 and 1,184.98 is: 1,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.58 : 2,612.30 = 1,184.98 : x
  2. Step 2: Convert to fraction form
    1,893.58/2,612.30 = 1,184.98/x
  3. Step 3: Cross multiply
    1,893.58x = 2,612.30 × 1,184.98
  4. Step 4: Simplify right side
    1,893.58x = 3,095,522.36
  5. Step 5: Solve for x
    x = 3,095,522.36/1,893.58
  6. Step 6: Final answer
    x = 1,634.75

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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.