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Finding the Fourth Proportional to 2,296.64, 3,169.17 and 1,457.48

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Solution

The fourth proportional to 2,296.64, 3,169.17 and 1,457.48 is: 2,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.64 : 3,169.17 = 1,457.48 : x
  2. Step 2: Convert to fraction form
    2,296.64/3,169.17 = 1,457.48/x
  3. Step 3: Cross multiply
    2,296.64x = 3,169.17 × 1,457.48
  4. Step 4: Simplify right side
    2,296.64x = 4,618,986.05
  5. Step 5: Solve for x
    x = 4,618,986.05/2,296.64
  6. Step 6: Final answer
    x = 2,011.20

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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.