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Finding the Fourth Proportional to 1,854.41, 2,557.04 and 1,323.05

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Solution

The fourth proportional to 1,854.41, 2,557.04 and 1,323.05 is: 1,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.41 : 2,557.04 = 1,323.05 : x
  2. Step 2: Convert to fraction form
    1,854.41/2,557.04 = 1,323.05/x
  3. Step 3: Cross multiply
    1,854.41x = 2,557.04 × 1,323.05
  4. Step 4: Simplify right side
    1,854.41x = 3,383,072.37
  5. Step 5: Solve for x
    x = 3,383,072.37/1,854.41
  6. Step 6: Final answer
    x = 1,824.34

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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.