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Finding the Fourth Proportional to 2,566.10, 3,849.10 and 717.18

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Solution

The fourth proportional to 2,566.10, 3,849.10 and 717.18 is: 1,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.10 : 3,849.10 = 717.18 : x
  2. Step 2: Convert to fraction form
    2,566.10/3,849.10 = 717.18/x
  3. Step 3: Cross multiply
    2,566.10x = 3,849.10 × 717.18
  4. Step 4: Simplify right side
    2,566.10x = 2,760,495.75
  5. Step 5: Solve for x
    x = 2,760,495.75/2,566.10
  6. Step 6: Final answer
    x = 1,075.75

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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.