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Finding the Fourth Proportional to 2,297.52, 3,170.56 and 1,303

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Solution

The fourth proportional to 2,297.52, 3,170.56 and 1,303 is: 1,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.52 : 3,170.56 = 1,303 : x
  2. Step 2: Convert to fraction form
    2,297.52/3,170.56 = 1,303/x
  3. Step 3: Cross multiply
    2,297.52x = 3,170.56 × 1,303
  4. Step 4: Simplify right side
    2,297.52x = 4,131,239.68
  5. Step 5: Solve for x
    x = 4,131,239.68/2,297.52
  6. Step 6: Final answer
    x = 1,798.13

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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.