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Finding the Fourth Proportional to 2,400.75, 3,600.96 and 1,476.45

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Solution

The fourth proportional to 2,400.75, 3,600.96 and 1,476.45 is: 2,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.75 : 3,600.96 = 1,476.45 : x
  2. Step 2: Convert to fraction form
    2,400.75/3,600.96 = 1,476.45/x
  3. Step 3: Cross multiply
    2,400.75x = 3,600.96 × 1,476.45
  4. Step 4: Simplify right side
    2,400.75x = 5,316,637.39
  5. Step 5: Solve for x
    x = 5,316,637.39/2,400.75
  6. Step 6: Final answer
    x = 2,214.57

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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.