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Finding the Fourth Proportional to 2,586.54, 3,877.45 and 1,199.51

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Solution

The fourth proportional to 2,586.54, 3,877.45 and 1,199.51 is: 1,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.54 : 3,877.45 = 1,199.51 : x
  2. Step 2: Convert to fraction form
    2,586.54/3,877.45 = 1,199.51/x
  3. Step 3: Cross multiply
    2,586.54x = 3,877.45 × 1,199.51
  4. Step 4: Simplify right side
    2,586.54x = 4,651,040.05
  5. Step 5: Solve for x
    x = 4,651,040.05/2,586.54
  6. Step 6: Final answer
    x = 1,798.17

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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.