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Finding the Fourth Proportional to 1,618.51, 2,233.94 and 1,509.07

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Solution

The fourth proportional to 1,618.51, 2,233.94 and 1,509.07 is: 2,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.51 : 2,233.94 = 1,509.07 : x
  2. Step 2: Convert to fraction form
    1,618.51/2,233.94 = 1,509.07/x
  3. Step 3: Cross multiply
    1,618.51x = 2,233.94 × 1,509.07
  4. Step 4: Simplify right side
    1,618.51x = 3,371,171.84
  5. Step 5: Solve for x
    x = 3,371,171.84/1,618.51
  6. Step 6: Final answer
    x = 2,082.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.