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Finding the Fourth Proportional to 1,707.57, 2,561.04 and 783.18

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Solution

The fourth proportional to 1,707.57, 2,561.04 and 783.18 is: 1,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.57 : 2,561.04 = 783.18 : x
  2. Step 2: Convert to fraction form
    1,707.57/2,561.04 = 783.18/x
  3. Step 3: Cross multiply
    1,707.57x = 2,561.04 × 783.18
  4. Step 4: Simplify right side
    1,707.57x = 2,005,755.31
  5. Step 5: Solve for x
    x = 2,005,755.31/1,707.57
  6. Step 6: Final answer
    x = 1,174.63

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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.