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Finding the Fourth Proportional to 1,862.44, 2,569.86 and 1,076.44

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Solution

The fourth proportional to 1,862.44, 2,569.86 and 1,076.44 is: 1,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.44 : 2,569.86 = 1,076.44 : x
  2. Step 2: Convert to fraction form
    1,862.44/2,569.86 = 1,076.44/x
  3. Step 3: Cross multiply
    1,862.44x = 2,569.86 × 1,076.44
  4. Step 4: Simplify right side
    1,862.44x = 2,766,300.10
  5. Step 5: Solve for x
    x = 2,766,300.10/1,862.44
  6. Step 6: Final answer
    x = 1,485.31

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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.