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Finding the Fourth Proportional to 2,297.39, 3,166.98 and 1,412.51

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Solution

The fourth proportional to 2,297.39, 3,166.98 and 1,412.51 is: 1,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.39 : 3,166.98 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    2,297.39/3,166.98 = 1,412.51/x
  3. Step 3: Cross multiply
    2,297.39x = 3,166.98 × 1,412.51
  4. Step 4: Simplify right side
    2,297.39x = 4,473,390.92
  5. Step 5: Solve for x
    x = 4,473,390.92/2,297.39
  6. Step 6: Final answer
    x = 1,947.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.