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Finding the Fourth Proportional to 3,137.02, 4,328.93 and 1,811.15

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Solution

The fourth proportional to 3,137.02, 4,328.93 and 1,811.15 is: 2,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.02 : 4,328.93 = 1,811.15 : x
  2. Step 2: Convert to fraction form
    3,137.02/4,328.93 = 1,811.15/x
  3. Step 3: Cross multiply
    3,137.02x = 4,328.93 × 1,811.15
  4. Step 4: Simplify right side
    3,137.02x = 7,840,324.45
  5. Step 5: Solve for x
    x = 7,840,324.45/3,137.02
  6. Step 6: Final answer
    x = 2,499.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.