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Finding the Fourth Proportional to 2,580.31, 3,869.98 and 730.98

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Solution

The fourth proportional to 2,580.31, 3,869.98 and 730.98 is: 1,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.31 : 3,869.98 = 730.98 : x
  2. Step 2: Convert to fraction form
    2,580.31/3,869.98 = 730.98/x
  3. Step 3: Cross multiply
    2,580.31x = 3,869.98 × 730.98
  4. Step 4: Simplify right side
    2,580.31x = 2,828,877.98
  5. Step 5: Solve for x
    x = 2,828,877.98/2,580.31
  6. Step 6: Final answer
    x = 1,096.33

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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.