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Finding the Fourth Proportional to 1,618.09, 2,423.94 and 1,504.18

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Solution

The fourth proportional to 1,618.09, 2,423.94 and 1,504.18 is: 2,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.09 : 2,423.94 = 1,504.18 : x
  2. Step 2: Convert to fraction form
    1,618.09/2,423.94 = 1,504.18/x
  3. Step 3: Cross multiply
    1,618.09x = 2,423.94 × 1,504.18
  4. Step 4: Simplify right side
    1,618.09x = 3,646,042.07
  5. Step 5: Solve for x
    x = 3,646,042.07/1,618.09
  6. Step 6: Final answer
    x = 2,253.31

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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.