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Finding the Fourth Proportional to 1,823.97, 2,718.63 and 1,720.19

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Solution

The fourth proportional to 1,823.97, 2,718.63 and 1,720.19 is: 2,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.97 : 2,718.63 = 1,720.19 : x
  2. Step 2: Convert to fraction form
    1,823.97/2,718.63 = 1,720.19/x
  3. Step 3: Cross multiply
    1,823.97x = 2,718.63 × 1,720.19
  4. Step 4: Simplify right side
    1,823.97x = 4,676,537.95
  5. Step 5: Solve for x
    x = 4,676,537.95/1,823.97
  6. Step 6: Final answer
    x = 2,563.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.