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Finding the Fourth Proportional to 2,094.03, 3,141.21 and 999.32

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Solution

The fourth proportional to 2,094.03, 3,141.21 and 999.32 is: 1,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.03 : 3,141.21 = 999.32 : x
  2. Step 2: Convert to fraction form
    2,094.03/3,141.21 = 999.32/x
  3. Step 3: Cross multiply
    2,094.03x = 3,141.21 × 999.32
  4. Step 4: Simplify right side
    2,094.03x = 3,139,058.27
  5. Step 5: Solve for x
    x = 3,139,058.27/2,094.03
  6. Step 6: Final answer
    x = 1,499.05

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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.