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Finding the Fourth Proportional to 2,020.42, 3,030.63 and 559.57

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Solution

The fourth proportional to 2,020.42, 3,030.63 and 559.57 is: 839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.42 : 3,030.63 = 559.57 : x
  2. Step 2: Convert to fraction form
    2,020.42/3,030.63 = 559.57/x
  3. Step 3: Cross multiply
    2,020.42x = 3,030.63 × 559.57
  4. Step 4: Simplify right side
    2,020.42x = 1,695,848.23
  5. Step 5: Solve for x
    x = 1,695,848.23/2,020.42
  6. Step 6: Final answer
    x = 839.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.