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Finding the Fourth Proportional to 3,212.51, 4,818.90 and 1,570.51

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Solution

The fourth proportional to 3,212.51, 4,818.90 and 1,570.51 is: 2,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.51 : 4,818.90 = 1,570.51 : x
  2. Step 2: Convert to fraction form
    3,212.51/4,818.90 = 1,570.51/x
  3. Step 3: Cross multiply
    3,212.51x = 4,818.90 × 1,570.51
  4. Step 4: Simplify right side
    3,212.51x = 7,568,106.54
  5. Step 5: Solve for x
    x = 7,568,106.54/3,212.51
  6. Step 6: Final answer
    x = 2,355.82

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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.