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Finding the Fourth Proportional to 2,499.18, 3,750.68 and 940.34

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Solution

The fourth proportional to 2,499.18, 3,750.68 and 940.34 is: 1,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.18 : 3,750.68 = 940.34 : x
  2. Step 2: Convert to fraction form
    2,499.18/3,750.68 = 940.34/x
  3. Step 3: Cross multiply
    2,499.18x = 3,750.68 × 940.34
  4. Step 4: Simplify right side
    2,499.18x = 3,526,914.43
  5. Step 5: Solve for x
    x = 3,526,914.43/2,499.18
  6. Step 6: Final answer
    x = 1,411.23

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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.