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Finding the Fourth Proportional to 2,297.58, 3,171 and 1,303.11

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Solution

The fourth proportional to 2,297.58, 3,171 and 1,303.11 is: 1,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,171 = 1,303.11 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,171 = 1,303.11/x
  3. Step 3: Cross multiply
    2,297.58x = 3,171 × 1,303.11
  4. Step 4: Simplify right side
    2,297.58x = 4,132,161.81
  5. Step 5: Solve for x
    x = 4,132,161.81/2,297.58
  6. Step 6: Final answer
    x = 1,798.48

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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.