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Finding the Fourth Proportional to 2,774.34, 4,177.69 and 2,048.99

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Solution

The fourth proportional to 2,774.34, 4,177.69 and 2,048.99 is: 3,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.34 : 4,177.69 = 2,048.99 : x
  2. Step 2: Convert to fraction form
    2,774.34/4,177.69 = 2,048.99/x
  3. Step 3: Cross multiply
    2,774.34x = 4,177.69 × 2,048.99
  4. Step 4: Simplify right side
    2,774.34x = 8,560,019.02
  5. Step 5: Solve for x
    x = 8,560,019.02/2,774.34
  6. Step 6: Final answer
    x = 3,085.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.