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Finding the Fourth Proportional to 2,341.25, 3,512.90 and 1,109.54

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Solution

The fourth proportional to 2,341.25, 3,512.90 and 1,109.54 is: 1,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.25 : 3,512.90 = 1,109.54 : x
  2. Step 2: Convert to fraction form
    2,341.25/3,512.90 = 1,109.54/x
  3. Step 3: Cross multiply
    2,341.25x = 3,512.90 × 1,109.54
  4. Step 4: Simplify right side
    2,341.25x = 3,897,703.07
  5. Step 5: Solve for x
    x = 3,897,703.07/2,341.25
  6. Step 6: Final answer
    x = 1,664.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.