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Finding the Fourth Proportional to 2,883.84, 3,975.45 and 2,041.93

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Solution

The fourth proportional to 2,883.84, 3,975.45 and 2,041.93 is: 2,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.84 : 3,975.45 = 2,041.93 : x
  2. Step 2: Convert to fraction form
    2,883.84/3,975.45 = 2,041.93/x
  3. Step 3: Cross multiply
    2,883.84x = 3,975.45 × 2,041.93
  4. Step 4: Simplify right side
    2,883.84x = 8,117,590.62
  5. Step 5: Solve for x
    x = 8,117,590.62/2,883.84
  6. Step 6: Final answer
    x = 2,814.85

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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.