Home / 2,284.16-3,421.76-1,768.64

Finding the Fourth Proportional to 2,284.16, 3,421.76 and 1,768.64

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Solution

The fourth proportional to 2,284.16, 3,421.76 and 1,768.64 is: 2,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,421.76 = 1,768.64 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,421.76 = 1,768.64/x
  3. Step 3: Cross multiply
    2,284.16x = 3,421.76 × 1,768.64
  4. Step 4: Simplify right side
    2,284.16x = 6,051,861.61
  5. Step 5: Solve for x
    x = 6,051,861.61/2,284.16
  6. Step 6: Final answer
    x = 2,649.49

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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.