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Finding the Fourth Proportional to 2,698.02, 4,040.95 and 1,382.18

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Solution

The fourth proportional to 2,698.02, 4,040.95 and 1,382.18 is: 2,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.02 : 4,040.95 = 1,382.18 : x
  2. Step 2: Convert to fraction form
    2,698.02/4,040.95 = 1,382.18/x
  3. Step 3: Cross multiply
    2,698.02x = 4,040.95 × 1,382.18
  4. Step 4: Simplify right side
    2,698.02x = 5,585,300.07
  5. Step 5: Solve for x
    x = 5,585,300.07/2,698.02
  6. Step 6: Final answer
    x = 2,070.15

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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.