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Finding the Fourth Proportional to 2,216.00, 3,322.59 and 948.08

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Solution

The fourth proportional to 2,216.00, 3,322.59 and 948.08 is: 1,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.00 : 3,322.59 = 948.08 : x
  2. Step 2: Convert to fraction form
    2,216.00/3,322.59 = 948.08/x
  3. Step 3: Cross multiply
    2,216.00x = 3,322.59 × 948.08
  4. Step 4: Simplify right side
    2,216.00x = 3,150,064.51
  5. Step 5: Solve for x
    x = 3,150,064.51/2,216.00
  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.