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Finding the Fourth Proportional to 2,804.51, 4,200.38 and 1,706.45

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Solution

The fourth proportional to 2,804.51, 4,200.38 and 1,706.45 is: 2,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.51 : 4,200.38 = 1,706.45 : x
  2. Step 2: Convert to fraction form
    2,804.51/4,200.38 = 1,706.45/x
  3. Step 3: Cross multiply
    2,804.51x = 4,200.38 × 1,706.45
  4. Step 4: Simplify right side
    2,804.51x = 7,167,708.92
  5. Step 5: Solve for x
    x = 7,167,708.92/2,804.51
  6. Step 6: Final answer
    x = 2,555.78

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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.