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Finding the Fourth Proportional to 2,592.03, 3,886.89 and 947.43

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Solution

The fourth proportional to 2,592.03, 3,886.89 and 947.43 is: 1,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.03 : 3,886.89 = 947.43 : x
  2. Step 2: Convert to fraction form
    2,592.03/3,886.89 = 947.43/x
  3. Step 3: Cross multiply
    2,592.03x = 3,886.89 × 947.43
  4. Step 4: Simplify right side
    2,592.03x = 3,682,556.19
  5. Step 5: Solve for x
    x = 3,682,556.19/2,592.03
  6. Step 6: Final answer
    x = 1,420.72

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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.