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Finding the Fourth Proportional to 2,495.61, 3,743.43 and 1,196.77

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Solution

The fourth proportional to 2,495.61, 3,743.43 and 1,196.77 is: 1,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.61 : 3,743.43 = 1,196.77 : x
  2. Step 2: Convert to fraction form
    2,495.61/3,743.43 = 1,196.77/x
  3. Step 3: Cross multiply
    2,495.61x = 3,743.43 × 1,196.77
  4. Step 4: Simplify right side
    2,495.61x = 4,480,024.72
  5. Step 5: Solve for x
    x = 4,480,024.72/2,495.61
  6. Step 6: Final answer
    x = 1,795.16

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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.