Home / 2,457.28-3,682.38-1,417.24

Finding the Fourth Proportional to 2,457.28, 3,682.38 and 1,417.24

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Solution

The fourth proportional to 2,457.28, 3,682.38 and 1,417.24 is: 2,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.28 : 3,682.38 = 1,417.24 : x
  2. Step 2: Convert to fraction form
    2,457.28/3,682.38 = 1,417.24/x
  3. Step 3: Cross multiply
    2,457.28x = 3,682.38 × 1,417.24
  4. Step 4: Simplify right side
    2,457.28x = 5,218,816.23
  5. Step 5: Solve for x
    x = 5,218,816.23/2,457.28
  6. Step 6: Final answer
    x = 2,123.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.