Home / 2,296.56-3,169.92-1,457.28

Finding the Fourth Proportional to 2,296.56, 3,169.92 and 1,457.28

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Solution

The fourth proportional to 2,296.56, 3,169.92 and 1,457.28 is: 2,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,169.92 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,169.92 = 1,457.28/x
  3. Step 3: Cross multiply
    2,296.56x = 3,169.92 × 1,457.28
  4. Step 4: Simplify right side
    2,296.56x = 4,619,461.02
  5. Step 5: Solve for x
    x = 4,619,461.02/2,296.56
  6. Step 6: Final answer
    x = 2,011.47

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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.