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Finding the Fourth Proportional to 2,897.81, 4,346.90 and 1,119.72

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Solution

The fourth proportional to 2,897.81, 4,346.90 and 1,119.72 is: 1,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.81 : 4,346.90 = 1,119.72 : x
  2. Step 2: Convert to fraction form
    2,897.81/4,346.90 = 1,119.72/x
  3. Step 3: Cross multiply
    2,897.81x = 4,346.90 × 1,119.72
  4. Step 4: Simplify right side
    2,897.81x = 4,867,297.20
  5. Step 5: Solve for x
    x = 4,867,297.20/2,897.81
  6. Step 6: Final answer
    x = 1,679.65

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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.