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Finding the Fourth Proportional to 1,262.44, 1,893.66 and 1,137.16

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Solution

The fourth proportional to 1,262.44, 1,893.66 and 1,137.16 is: 1,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.44 : 1,893.66 = 1,137.16 : x
  2. Step 2: Convert to fraction form
    1,262.44/1,893.66 = 1,137.16/x
  3. Step 3: Cross multiply
    1,262.44x = 1,893.66 × 1,137.16
  4. Step 4: Simplify right side
    1,262.44x = 2,153,394.41
  5. Step 5: Solve for x
    x = 2,153,394.41/1,262.44
  6. Step 6: Final answer
    x = 1,705.74

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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.