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Finding the Fourth Proportional to 1,713.79, 2,554.43 and 1,589.14

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Solution

The fourth proportional to 1,713.79, 2,554.43 and 1,589.14 is: 2,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.79 : 2,554.43 = 1,589.14 : x
  2. Step 2: Convert to fraction form
    1,713.79/2,554.43 = 1,589.14/x
  3. Step 3: Cross multiply
    1,713.79x = 2,554.43 × 1,589.14
  4. Step 4: Simplify right side
    1,713.79x = 4,059,346.89
  5. Step 5: Solve for x
    x = 4,059,346.89/1,713.79
  6. Step 6: Final answer
    x = 2,368.64

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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.