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Finding the Fourth Proportional to 2,852.04, 3,938.04 and 2,187.84

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Solution

The fourth proportional to 2,852.04, 3,938.04 and 2,187.84 is: 3,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.04 : 3,938.04 = 2,187.84 : x
  2. Step 2: Convert to fraction form
    2,852.04/3,938.04 = 2,187.84/x
  3. Step 3: Cross multiply
    2,852.04x = 3,938.04 × 2,187.84
  4. Step 4: Simplify right side
    2,852.04x = 8,615,801.43
  5. Step 5: Solve for x
    x = 8,615,801.43/2,852.04
  6. Step 6: Final answer
    x = 3,020.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.