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Finding the Fourth Proportional to 1,851.84, 2,764.24 and 1,618.29

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Solution

The fourth proportional to 1,851.84, 2,764.24 and 1,618.29 is: 2,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.84 : 2,764.24 = 1,618.29 : x
  2. Step 2: Convert to fraction form
    1,851.84/2,764.24 = 1,618.29/x
  3. Step 3: Cross multiply
    1,851.84x = 2,764.24 × 1,618.29
  4. Step 4: Simplify right side
    1,851.84x = 4,473,347.01
  5. Step 5: Solve for x
    x = 4,473,347.01/1,851.84
  6. Step 6: Final answer
    x = 2,415.62

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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.