Home / 2,824.64-3,897.99-1,582.64

Finding the Fourth Proportional to 2,824.64, 3,897.99 and 1,582.64

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Solution

The fourth proportional to 2,824.64, 3,897.99 and 1,582.64 is: 2,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.64 : 3,897.99 = 1,582.64 : x
  2. Step 2: Convert to fraction form
    2,824.64/3,897.99 = 1,582.64/x
  3. Step 3: Cross multiply
    2,824.64x = 3,897.99 × 1,582.64
  4. Step 4: Simplify right side
    2,824.64x = 6,169,114.89
  5. Step 5: Solve for x
    x = 6,169,114.89/2,824.64
  6. Step 6: Final answer
    x = 2,184.04

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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.