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Finding the Fourth Proportional to 2,052.54, 2,830.34 and 1,886.09

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Solution

The fourth proportional to 2,052.54, 2,830.34 and 1,886.09 is: 2,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.54 : 2,830.34 = 1,886.09 : x
  2. Step 2: Convert to fraction form
    2,052.54/2,830.34 = 1,886.09/x
  3. Step 3: Cross multiply
    2,052.54x = 2,830.34 × 1,886.09
  4. Step 4: Simplify right side
    2,052.54x = 5,338,266.53
  5. Step 5: Solve for x
    x = 5,338,266.53/2,052.54
  6. Step 6: Final answer
    x = 2,600.81

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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.