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Finding the Fourth Proportional to 2,503.44, 3,759.75 and 1,409.94

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Solution

The fourth proportional to 2,503.44, 3,759.75 and 1,409.94 is: 2,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.44 : 3,759.75 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    2,503.44/3,759.75 = 1,409.94/x
  3. Step 3: Cross multiply
    2,503.44x = 3,759.75 × 1,409.94
  4. Step 4: Simplify right side
    2,503.44x = 5,301,021.92
  5. Step 5: Solve for x
    x = 5,301,021.92/2,503.44
  6. Step 6: Final answer
    x = 2,117.50

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Why These Related Problems?

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