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Finding the Fourth Proportional to 1,882.69, 2,597.74 and 1,219.45

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Solution

The fourth proportional to 1,882.69, 2,597.74 and 1,219.45 is: 1,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.69 : 2,597.74 = 1,219.45 : x
  2. Step 2: Convert to fraction form
    1,882.69/2,597.74 = 1,219.45/x
  3. Step 3: Cross multiply
    1,882.69x = 2,597.74 × 1,219.45
  4. Step 4: Simplify right side
    1,882.69x = 3,167,814.04
  5. Step 5: Solve for x
    x = 3,167,814.04/1,882.69
  6. Step 6: Final answer
    x = 1,682.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.