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Finding the Fourth Proportional to 2,196.81, 3,031.29 and 1,313.01

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Solution

The fourth proportional to 2,196.81, 3,031.29 and 1,313.01 is: 1,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.81 : 3,031.29 = 1,313.01 : x
  2. Step 2: Convert to fraction form
    2,196.81/3,031.29 = 1,313.01/x
  3. Step 3: Cross multiply
    2,196.81x = 3,031.29 × 1,313.01
  4. Step 4: Simplify right side
    2,196.81x = 3,980,114.08
  5. Step 5: Solve for x
    x = 3,980,114.08/2,196.81
  6. Step 6: Final answer
    x = 1,811.77

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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.