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Finding the Fourth Proportional to 1,713.92, 2,570.88 and 1,203.20

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Solution

The fourth proportional to 1,713.92, 2,570.88 and 1,203.20 is: 1,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.92 : 2,570.88 = 1,203.20 : x
  2. Step 2: Convert to fraction form
    1,713.92/2,570.88 = 1,203.20/x
  3. Step 3: Cross multiply
    1,713.92x = 2,570.88 × 1,203.20
  4. Step 4: Simplify right side
    1,713.92x = 3,093,282.82
  5. Step 5: Solve for x
    x = 3,093,282.82/1,713.92
  6. Step 6: Final answer
    x = 1,804.80

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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.