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Finding the Fourth Proportional to 1,988.97, 2,984.24 and 1,827.51

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Solution

The fourth proportional to 1,988.97, 2,984.24 and 1,827.51 is: 2,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.97 : 2,984.24 = 1,827.51 : x
  2. Step 2: Convert to fraction form
    1,988.97/2,984.24 = 1,827.51/x
  3. Step 3: Cross multiply
    1,988.97x = 2,984.24 × 1,827.51
  4. Step 4: Simplify right side
    1,988.97x = 5,453,719.30
  5. Step 5: Solve for x
    x = 5,453,719.30/1,988.97
  6. Step 6: Final answer
    x = 2,741.98

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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.