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Finding the Fourth Proportional to 2,582.93, 3,874.80 and 1,196.75

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Solution

The fourth proportional to 2,582.93, 3,874.80 and 1,196.75 is: 1,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.93 : 3,874.80 = 1,196.75 : x
  2. Step 2: Convert to fraction form
    2,582.93/3,874.80 = 1,196.75/x
  3. Step 3: Cross multiply
    2,582.93x = 3,874.80 × 1,196.75
  4. Step 4: Simplify right side
    2,582.93x = 4,637,166.90
  5. Step 5: Solve for x
    x = 4,637,166.90/2,582.93
  6. Step 6: Final answer
    x = 1,795.31

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