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Finding the Fourth Proportional to 2,196.84, 3,031.74 and 1,313.58

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Solution

The fourth proportional to 2,196.84, 3,031.74 and 1,313.58 is: 1,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.84 : 3,031.74 = 1,313.58 : x
  2. Step 2: Convert to fraction form
    2,196.84/3,031.74 = 1,313.58/x
  3. Step 3: Cross multiply
    2,196.84x = 3,031.74 × 1,313.58
  4. Step 4: Simplify right side
    2,196.84x = 3,982,433.03
  5. Step 5: Solve for x
    x = 3,982,433.03/2,196.84
  6. Step 6: Final answer
    x = 1,812.80

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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.