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Finding the Fourth Proportional to 1,842.60, 2,554.41 and 1,743.96

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Solution

The fourth proportional to 1,842.60, 2,554.41 and 1,743.96 is: 2,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.60 : 2,554.41 = 1,743.96 : x
  2. Step 2: Convert to fraction form
    1,842.60/2,554.41 = 1,743.96/x
  3. Step 3: Cross multiply
    1,842.60x = 2,554.41 × 1,743.96
  4. Step 4: Simplify right side
    1,842.60x = 4,454,788.86
  5. Step 5: Solve for x
    x = 4,454,788.86/1,842.60
  6. Step 6: Final answer
    x = 2,417.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.