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Finding the Fourth Proportional to 2,216.40, 3,057.48 and 1,376.88

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Solution

The fourth proportional to 2,216.40, 3,057.48 and 1,376.88 is: 1,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.40 : 3,057.48 = 1,376.88 : x
  2. Step 2: Convert to fraction form
    2,216.40/3,057.48 = 1,376.88/x
  3. Step 3: Cross multiply
    2,216.40x = 3,057.48 × 1,376.88
  4. Step 4: Simplify right side
    2,216.40x = 4,209,783.06
  5. Step 5: Solve for x
    x = 4,209,783.06/2,216.40
  6. Step 6: Final answer
    x = 1,899.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.