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Finding the Fourth Proportional to 2,661.90, 3,989.61 and 1,929.66

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Solution

The fourth proportional to 2,661.90, 3,989.61 and 1,929.66 is: 2,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.90 : 3,989.61 = 1,929.66 : x
  2. Step 2: Convert to fraction form
    2,661.90/3,989.61 = 1,929.66/x
  3. Step 3: Cross multiply
    2,661.90x = 3,989.61 × 1,929.66
  4. Step 4: Simplify right side
    2,661.90x = 7,698,590.83
  5. Step 5: Solve for x
    x = 7,698,590.83/2,661.90
  6. Step 6: Final answer
    x = 2,892.14

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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.