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Finding the Fourth Proportional to 2,127.99, 2,937.24 and 1,420.86

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Solution

The fourth proportional to 2,127.99, 2,937.24 and 1,420.86 is: 1,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.99 : 2,937.24 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    2,127.99/2,937.24 = 1,420.86/x
  3. Step 3: Cross multiply
    2,127.99x = 2,937.24 × 1,420.86
  4. Step 4: Simplify right side
    2,127.99x = 4,173,399.72
  5. Step 5: Solve for x
    x = 4,173,399.72/2,127.99
  6. Step 6: Final answer
    x = 1,961.19

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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.