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Finding the Fourth Proportional to 1,422.64, 2,128.29 and 1,011.97

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Solution

The fourth proportional to 1,422.64, 2,128.29 and 1,011.97 is: 1,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.64 : 2,128.29 = 1,011.97 : x
  2. Step 2: Convert to fraction form
    1,422.64/2,128.29 = 1,011.97/x
  3. Step 3: Cross multiply
    1,422.64x = 2,128.29 × 1,011.97
  4. Step 4: Simplify right side
    1,422.64x = 2,153,765.63
  5. Step 5: Solve for x
    x = 2,153,765.63/1,422.64
  6. Step 6: Final answer
    x = 1,513.92

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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.