Home / 1,926.16-2,884.24-1,617.28

Finding the Fourth Proportional to 1,926.16, 2,884.24 and 1,617.28

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Solution

The fourth proportional to 1,926.16, 2,884.24 and 1,617.28 is: 2,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.16 : 2,884.24 = 1,617.28 : x
  2. Step 2: Convert to fraction form
    1,926.16/2,884.24 = 1,617.28/x
  3. Step 3: Cross multiply
    1,926.16x = 2,884.24 × 1,617.28
  4. Step 4: Simplify right side
    1,926.16x = 4,664,623.67
  5. Step 5: Solve for x
    x = 4,664,623.67/1,926.16
  6. Step 6: Final answer
    x = 2,421.72

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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.