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Finding the Fourth Proportional to 2,297.51, 3,169.39 and 1,501.30

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Solution

The fourth proportional to 2,297.51, 3,169.39 and 1,501.30 is: 2,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.51 : 3,169.39 = 1,501.30 : x
  2. Step 2: Convert to fraction form
    2,297.51/3,169.39 = 1,501.30/x
  3. Step 3: Cross multiply
    2,297.51x = 3,169.39 × 1,501.30
  4. Step 4: Simplify right side
    2,297.51x = 4,758,185.61
  5. Step 5: Solve for x
    x = 4,758,185.61/2,297.51
  6. Step 6: Final answer
    x = 2,071.02

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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.