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Finding the Fourth Proportional to 2,360.18, 3,540.29 and 716.75

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Solution

The fourth proportional to 2,360.18, 3,540.29 and 716.75 is: 1,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.18 : 3,540.29 = 716.75 : x
  2. Step 2: Convert to fraction form
    2,360.18/3,540.29 = 716.75/x
  3. Step 3: Cross multiply
    2,360.18x = 3,540.29 × 716.75
  4. Step 4: Simplify right side
    2,360.18x = 2,537,481.57
  5. Step 5: Solve for x
    x = 2,537,481.57/2,360.18
  6. Step 6: Final answer
    x = 1,075.12

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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.