Home / 2,214.28-3,319.08-828.64

Finding the Fourth Proportional to 2,214.28, 3,319.08 and 828.64

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Solution

The fourth proportional to 2,214.28, 3,319.08 and 828.64 is: 1,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.28 : 3,319.08 = 828.64 : x
  2. Step 2: Convert to fraction form
    2,214.28/3,319.08 = 828.64/x
  3. Step 3: Cross multiply
    2,214.28x = 3,319.08 × 828.64
  4. Step 4: Simplify right side
    2,214.28x = 2,750,322.45
  5. Step 5: Solve for x
    x = 2,750,322.45/2,214.28
  6. Step 6: Final answer
    x = 1,242.08

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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.