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Finding the Fourth Proportional to 2,360.06, 3,540.23 and 716.73

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Solution

The fourth proportional to 2,360.06, 3,540.23 and 716.73 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.06 : 3,540.23 = 716.73 : x
  2. Step 2: Convert to fraction form
    2,360.06/3,540.23 = 716.73/x
  3. Step 3: Cross multiply
    2,360.06x = 3,540.23 × 716.73
  4. Step 4: Simplify right side
    2,360.06x = 2,537,385.46
  5. Step 5: Solve for x
    x = 2,537,385.46/2,360.06
  6. Step 6: Final answer
    x = 1,075.14

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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.