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Finding the Fourth Proportional to 2,893.94, 4,318.71 and 2,582.49

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Solution

The fourth proportional to 2,893.94, 4,318.71 and 2,582.49 is: 3,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.94 : 4,318.71 = 2,582.49 : x
  2. Step 2: Convert to fraction form
    2,893.94/4,318.71 = 2,582.49/x
  3. Step 3: Cross multiply
    2,893.94x = 4,318.71 × 2,582.49
  4. Step 4: Simplify right side
    2,893.94x = 11,153,025.39
  5. Step 5: Solve for x
    x = 11,153,025.39/2,893.94
  6. Step 6: Final answer
    x = 3,853.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.