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Finding the Fourth Proportional to 2,420.47, 3,627.06 and 1,120.42

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Solution

The fourth proportional to 2,420.47, 3,627.06 and 1,120.42 is: 1,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.47 : 3,627.06 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    2,420.47/3,627.06 = 1,120.42/x
  3. Step 3: Cross multiply
    2,420.47x = 3,627.06 × 1,120.42
  4. Step 4: Simplify right side
    2,420.47x = 4,063,830.57
  5. Step 5: Solve for x
    x = 4,063,830.57/2,420.47
  6. Step 6: Final answer
    x = 1,678.94

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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.