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Finding the Fourth Proportional to 2,340.90, 3,510.21 and 839.40

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Solution

The fourth proportional to 2,340.90, 3,510.21 and 839.40 is: 1,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.90 : 3,510.21 = 839.40 : x
  2. Step 2: Convert to fraction form
    2,340.90/3,510.21 = 839.40/x
  3. Step 3: Cross multiply
    2,340.90x = 3,510.21 × 839.40
  4. Step 4: Simplify right side
    2,340.90x = 2,946,470.27
  5. Step 5: Solve for x
    x = 2,946,470.27/2,340.90
  6. Step 6: Final answer
    x = 1,258.69

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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.