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Finding the Fourth Proportional to 2,937.80, 4,406.81 and 1,476.16

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Solution

The fourth proportional to 2,937.80, 4,406.81 and 1,476.16 is: 2,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.80 : 4,406.81 = 1,476.16 : x
  2. Step 2: Convert to fraction form
    2,937.80/4,406.81 = 1,476.16/x
  3. Step 3: Cross multiply
    2,937.80x = 4,406.81 × 1,476.16
  4. Step 4: Simplify right side
    2,937.80x = 6,505,138.25
  5. Step 5: Solve for x
    x = 6,505,138.25/2,937.80
  6. Step 6: Final answer
    x = 2,214.29

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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.