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Finding the Fourth Proportional to 2,897.36, 4,346.96 and 950.96

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Solution

The fourth proportional to 2,897.36, 4,346.96 and 950.96 is: 1,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.36 : 4,346.96 = 950.96 : x
  2. Step 2: Convert to fraction form
    2,897.36/4,346.96 = 950.96/x
  3. Step 3: Cross multiply
    2,897.36x = 4,346.96 × 950.96
  4. Step 4: Simplify right side
    2,897.36x = 4,133,785.08
  5. Step 5: Solve for x
    x = 4,133,785.08/2,897.36
  6. Step 6: Final answer
    x = 1,426.74

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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.