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Finding the Fourth Proportional to 2,011.43, 2,776.28 and 1,422.16

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Solution

The fourth proportional to 2,011.43, 2,776.28 and 1,422.16 is: 1,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.43 : 2,776.28 = 1,422.16 : x
  2. Step 2: Convert to fraction form
    2,011.43/2,776.28 = 1,422.16/x
  3. Step 3: Cross multiply
    2,011.43x = 2,776.28 × 1,422.16
  4. Step 4: Simplify right side
    2,011.43x = 3,948,300.31
  5. Step 5: Solve for x
    x = 3,948,300.31/2,011.43
  6. Step 6: Final answer
    x = 1,962.93

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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.