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Finding the Fourth Proportional to 2,080.40, 2,921.20 and 2,080.40

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Solution

The fourth proportional to 2,080.40, 2,921.20 and 2,080.40 is: 2,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.40 : 2,921.20 = 2,080.40 : x
  2. Step 2: Convert to fraction form
    2,080.40/2,921.20 = 2,080.40/x
  3. Step 3: Cross multiply
    2,080.40x = 2,921.20 × 2,080.40
  4. Step 4: Simplify right side
    2,080.40x = 6,077,264.48
  5. Step 5: Solve for x
    x = 6,077,264.48/2,080.40
  6. Step 6: Final answer
    x = 2,921.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.