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Finding the Fourth Proportional to 2,245.47, 3,366.14 and 1,421.25

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Solution

The fourth proportional to 2,245.47, 3,366.14 and 1,421.25 is: 2,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.47 : 3,366.14 = 1,421.25 : x
  2. Step 2: Convert to fraction form
    2,245.47/3,366.14 = 1,421.25/x
  3. Step 3: Cross multiply
    2,245.47x = 3,366.14 × 1,421.25
  4. Step 4: Simplify right side
    2,245.47x = 4,784,119.37
  5. Step 5: Solve for x
    x = 4,784,119.37/2,245.47
  6. Step 6: Final answer
    x = 2,130.56

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