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Finding the Fourth Proportional to 3,225.42, 4,449.06 and 2,430

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Solution

The fourth proportional to 3,225.42, 4,449.06 and 2,430 is: 3,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.42 : 4,449.06 = 2,430 : x
  2. Step 2: Convert to fraction form
    3,225.42/4,449.06 = 2,430/x
  3. Step 3: Cross multiply
    3,225.42x = 4,449.06 × 2,430
  4. Step 4: Simplify right side
    3,225.42x = 10,811,215.80
  5. Step 5: Solve for x
    x = 10,811,215.80/3,225.42
  6. Step 6: Final answer
    x = 3,351.88

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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.