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Finding the Fourth Proportional to 2,297.52, 3,169.40 and 1,551.51

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Solution

The fourth proportional to 2,297.52, 3,169.40 and 1,551.51 is: 2,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.52 : 3,169.40 = 1,551.51 : x
  2. Step 2: Convert to fraction form
    2,297.52/3,169.40 = 1,551.51/x
  3. Step 3: Cross multiply
    2,297.52x = 3,169.40 × 1,551.51
  4. Step 4: Simplify right side
    2,297.52x = 4,917,348.04
  5. Step 5: Solve for x
    x = 4,917,348.04/2,297.52
  6. Step 6: Final answer
    x = 2,140.29

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1.5x scale

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.