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Finding the Fourth Proportional to 2,322.14, 3,203.08 and 1,525.52

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Solution

The fourth proportional to 2,322.14, 3,203.08 and 1,525.52 is: 2,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.14 : 3,203.08 = 1,525.52 : x
  2. Step 2: Convert to fraction form
    2,322.14/3,203.08 = 1,525.52/x
  3. Step 3: Cross multiply
    2,322.14x = 3,203.08 × 1,525.52
  4. Step 4: Simplify right side
    2,322.14x = 4,886,362.60
  5. Step 5: Solve for x
    x = 4,886,362.60/2,322.14
  6. Step 6: Final answer
    x = 2,104.25

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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.