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Finding the Fourth Proportional to 1,713.57, 2,571.38 and 1,574.15

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Solution

The fourth proportional to 1,713.57, 2,571.38 and 1,574.15 is: 2,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.57 : 2,571.38 = 1,574.15 : x
  2. Step 2: Convert to fraction form
    1,713.57/2,571.38 = 1,574.15/x
  3. Step 3: Cross multiply
    1,713.57x = 2,571.38 × 1,574.15
  4. Step 4: Simplify right side
    1,713.57x = 4,047,744.98
  5. Step 5: Solve for x
    x = 4,047,744.98/1,713.57
  6. Step 6: Final answer
    x = 2,362.17

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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.