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Finding the Fourth Proportional to 2,020.47, 3,030.63 and 559.63

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Solution

The fourth proportional to 2,020.47, 3,030.63 and 559.63 is: 839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.47 : 3,030.63 = 559.63 : x
  2. Step 2: Convert to fraction form
    2,020.47/3,030.63 = 559.63/x
  3. Step 3: Cross multiply
    2,020.47x = 3,030.63 × 559.63
  4. Step 4: Simplify right side
    2,020.47x = 1,696,031.47
  5. Step 5: Solve for x
    x = 1,696,031.47/2,020.47
  6. Step 6: Final answer
    x = 839.42

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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.