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Finding the Fourth Proportional to 2,020.16, 3,030.55 and 633.62

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Solution

The fourth proportional to 2,020.16, 3,030.55 and 633.62 is: 950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.16 : 3,030.55 = 633.62 : x
  2. Step 2: Convert to fraction form
    2,020.16/3,030.55 = 633.62/x
  3. Step 3: Cross multiply
    2,020.16x = 3,030.55 × 633.62
  4. Step 4: Simplify right side
    2,020.16x = 1,920,223.08
  5. Step 5: Solve for x
    x = 1,920,223.08/2,020.16
  6. Step 6: Final answer
    x = 950.53

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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.