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Finding the Fourth Proportional to 2,381.90, 3,292.53 and 1,986.62

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Solution

The fourth proportional to 2,381.90, 3,292.53 and 1,986.62 is: 2,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.90 : 3,292.53 = 1,986.62 : x
  2. Step 2: Convert to fraction form
    2,381.90/3,292.53 = 1,986.62/x
  3. Step 3: Cross multiply
    2,381.90x = 3,292.53 × 1,986.62
  4. Step 4: Simplify right side
    2,381.90x = 6,541,005.95
  5. Step 5: Solve for x
    x = 6,541,005.95/2,381.90
  6. Step 6: Final answer
    x = 2,746.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.