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Finding the Fourth Proportional to 2,354.69, 3,249.47 and 1,292.46

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Solution

The fourth proportional to 2,354.69, 3,249.47 and 1,292.46 is: 1,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.69 : 3,249.47 = 1,292.46 : x
  2. Step 2: Convert to fraction form
    2,354.69/3,249.47 = 1,292.46/x
  3. Step 3: Cross multiply
    2,354.69x = 3,249.47 × 1,292.46
  4. Step 4: Simplify right side
    2,354.69x = 4,199,803.53
  5. Step 5: Solve for x
    x = 4,199,803.53/2,354.69
  6. Step 6: Final answer
    x = 1,783.59

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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.