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Finding the Fourth Proportional to 1,840.25, 2,539 and 1,093.84

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Solution

The fourth proportional to 1,840.25, 2,539 and 1,093.84 is: 1,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.25 : 2,539 = 1,093.84 : x
  2. Step 2: Convert to fraction form
    1,840.25/2,539 = 1,093.84/x
  3. Step 3: Cross multiply
    1,840.25x = 2,539 × 1,093.84
  4. Step 4: Simplify right side
    1,840.25x = 2,777,259.76
  5. Step 5: Solve for x
    x = 2,777,259.76/1,840.25
  6. Step 6: Final answer
    x = 1,509.18

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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.