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Finding the Fourth Proportional to 2,215.99, 3,322.60 and 948.07

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Solution

The fourth proportional to 2,215.99, 3,322.60 and 948.07 is: 1,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.99 : 3,322.60 = 948.07 : x
  2. Step 2: Convert to fraction form
    2,215.99/3,322.60 = 948.07/x
  3. Step 3: Cross multiply
    2,215.99x = 3,322.60 × 948.07
  4. Step 4: Simplify right side
    2,215.99x = 3,150,057.38
  5. Step 5: Solve for x
    x = 3,150,057.38/2,215.99
  6. Step 6: Final answer
    x = 1,421.51

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Why These Related Problems?

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