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Finding the Fourth Proportional to 2,897.01, 4,344.71 and 922.64

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Solution

The fourth proportional to 2,897.01, 4,344.71 and 922.64 is: 1,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.01 : 4,344.71 = 922.64 : x
  2. Step 2: Convert to fraction form
    2,897.01/4,344.71 = 922.64/x
  3. Step 3: Cross multiply
    2,897.01x = 4,344.71 × 922.64
  4. Step 4: Simplify right side
    2,897.01x = 4,008,576.90
  5. Step 5: Solve for x
    x = 4,008,576.90/2,897.01
  6. Step 6: Final answer
    x = 1,383.69

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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.