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Finding the Fourth Proportional to 2,838.01, 4,249.41 and 2,315.86

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Solution

The fourth proportional to 2,838.01, 4,249.41 and 2,315.86 is: 3,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.01 : 4,249.41 = 2,315.86 : x
  2. Step 2: Convert to fraction form
    2,838.01/4,249.41 = 2,315.86/x
  3. Step 3: Cross multiply
    2,838.01x = 4,249.41 × 2,315.86
  4. Step 4: Simplify right side
    2,838.01x = 9,841,038.64
  5. Step 5: Solve for x
    x = 9,841,038.64/2,838.01
  6. Step 6: Final answer
    x = 3,467.58

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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.