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Finding the Fourth Proportional to 2,030.20, 2,835.80 and 2,030.20

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Solution

The fourth proportional to 2,030.20, 2,835.80 and 2,030.20 is: 2,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.20 : 2,835.80 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    2,030.20/2,835.80 = 2,030.20/x
  3. Step 3: Cross multiply
    2,030.20x = 2,835.80 × 2,030.20
  4. Step 4: Simplify right side
    2,030.20x = 5,757,241.16
  5. Step 5: Solve for x
    x = 5,757,241.16/2,030.20
  6. Step 6: Final answer
    x = 2,835.80

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1.5x scale

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.