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Finding the Fourth Proportional to 2,705.36, 4,065.36 and 1,473.68

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Solution

The fourth proportional to 2,705.36, 4,065.36 and 1,473.68 is: 2,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.36 : 4,065.36 = 1,473.68 : x
  2. Step 2: Convert to fraction form
    2,705.36/4,065.36 = 1,473.68/x
  3. Step 3: Cross multiply
    2,705.36x = 4,065.36 × 1,473.68
  4. Step 4: Simplify right side
    2,705.36x = 5,991,039.72
  5. Step 5: Solve for x
    x = 5,991,039.72/2,705.36
  6. Step 6: Final answer
    x = 2,214.51

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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.