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Finding the Fourth Proportional to 2,507.99, 3,454.84 and 2,133.77

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Solution

The fourth proportional to 2,507.99, 3,454.84 and 2,133.77 is: 2,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.99 : 3,454.84 = 2,133.77 : x
  2. Step 2: Convert to fraction form
    2,507.99/3,454.84 = 2,133.77/x
  3. Step 3: Cross multiply
    2,507.99x = 3,454.84 × 2,133.77
  4. Step 4: Simplify right side
    2,507.99x = 7,371,833.95
  5. Step 5: Solve for x
    x = 7,371,833.95/2,507.99
  6. Step 6: Final answer
    x = 2,939.34

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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.