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Finding the Fourth Proportional to 2,030.20, 3,080.72 and 2,030.20

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Solution

The fourth proportional to 2,030.20, 3,080.72 and 2,030.20 is: 3,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.20 : 3,080.72 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    2,030.20/3,080.72 = 2,030.20/x
  3. Step 3: Cross multiply
    2,030.20x = 3,080.72 × 2,030.20
  4. Step 4: Simplify right side
    2,030.20x = 6,254,477.74
  5. Step 5: Solve for x
    x = 6,254,477.74/2,030.20
  6. Step 6: Final answer
    x = 3,080.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.