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Finding the Fourth Proportional to 2,707.59, 4,063.42 and 1,828.01

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Solution

The fourth proportional to 2,707.59, 4,063.42 and 1,828.01 is: 2,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.59 : 4,063.42 = 1,828.01 : x
  2. Step 2: Convert to fraction form
    2,707.59/4,063.42 = 1,828.01/x
  3. Step 3: Cross multiply
    2,707.59x = 4,063.42 × 1,828.01
  4. Step 4: Simplify right side
    2,707.59x = 7,427,972.39
  5. Step 5: Solve for x
    x = 7,427,972.39/2,707.59
  6. Step 6: Final answer
    x = 2,743.39

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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.