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Finding the Fourth Proportional to 2,020.32, 3,030.53 and 559.46

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Solution

The fourth proportional to 2,020.32, 3,030.53 and 559.46 is: 839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.32 : 3,030.53 = 559.46 : x
  2. Step 2: Convert to fraction form
    2,020.32/3,030.53 = 559.46/x
  3. Step 3: Cross multiply
    2,020.32x = 3,030.53 × 559.46
  4. Step 4: Simplify right side
    2,020.32x = 1,695,460.31
  5. Step 5: Solve for x
    x = 1,695,460.31/2,020.32
  6. Step 6: Final answer
    x = 839.21

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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.