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Finding the Fourth Proportional to 1,710.56, 2,575.17 and 1,166.19

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Solution

The fourth proportional to 1,710.56, 2,575.17 and 1,166.19 is: 1,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.56 : 2,575.17 = 1,166.19 : x
  2. Step 2: Convert to fraction form
    1,710.56/2,575.17 = 1,166.19/x
  3. Step 3: Cross multiply
    1,710.56x = 2,575.17 × 1,166.19
  4. Step 4: Simplify right side
    1,710.56x = 3,003,137.50
  5. Step 5: Solve for x
    x = 3,003,137.50/1,710.56
  6. Step 6: Final answer
    x = 1,755.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.