Home / 2,151.24-2,970.36-1,653.09

Finding the Fourth Proportional to 2,151.24, 2,970.36 and 1,653.09

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Solution

The fourth proportional to 2,151.24, 2,970.36 and 1,653.09 is: 2,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.24 : 2,970.36 = 1,653.09 : x
  2. Step 2: Convert to fraction form
    2,151.24/2,970.36 = 1,653.09/x
  3. Step 3: Cross multiply
    2,151.24x = 2,970.36 × 1,653.09
  4. Step 4: Simplify right side
    2,151.24x = 4,910,272.41
  5. Step 5: Solve for x
    x = 4,910,272.41/2,151.24
  6. Step 6: Final answer
    x = 2,282.53

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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.