Home / 1,607.24-2,218.02-1,082.36

Finding the Fourth Proportional to 1,607.24, 2,218.02 and 1,082.36

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Solution

The fourth proportional to 1,607.24, 2,218.02 and 1,082.36 is: 1,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.24 : 2,218.02 = 1,082.36 : x
  2. Step 2: Convert to fraction form
    1,607.24/2,218.02 = 1,082.36/x
  3. Step 3: Cross multiply
    1,607.24x = 2,218.02 × 1,082.36
  4. Step 4: Simplify right side
    1,607.24x = 2,400,696.13
  5. Step 5: Solve for x
    x = 2,400,696.13/1,607.24
  6. Step 6: Final answer
    x = 1,493.68

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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.