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Finding the Fourth Proportional to 1,707.82, 2,561.69 and 612.90

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Solution

The fourth proportional to 1,707.82, 2,561.69 and 612.90 is: 919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.82 : 2,561.69 = 612.90 : x
  2. Step 2: Convert to fraction form
    1,707.82/2,561.69 = 612.90/x
  3. Step 3: Cross multiply
    1,707.82x = 2,561.69 × 612.90
  4. Step 4: Simplify right side
    1,707.82x = 1,570,061.33
  5. Step 5: Solve for x
    x = 1,570,061.33/1,707.82
  6. Step 6: Final answer
    x = 919.34

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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.