Home / 2,153.39-3,225.96-1,456.64

Finding the Fourth Proportional to 2,153.39, 3,225.96 and 1,456.64

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Solution

The fourth proportional to 2,153.39, 3,225.96 and 1,456.64 is: 2,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.39 : 3,225.96 = 1,456.64 : x
  2. Step 2: Convert to fraction form
    2,153.39/3,225.96 = 1,456.64/x
  3. Step 3: Cross multiply
    2,153.39x = 3,225.96 × 1,456.64
  4. Step 4: Simplify right side
    2,153.39x = 4,699,046.24
  5. Step 5: Solve for x
    x = 4,699,046.24/2,153.39
  6. Step 6: Final answer
    x = 2,182.17

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Why These Related Problems?

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