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Finding the Fourth Proportional to 2,465.93, 3,697.07 and 1,165.88

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Solution

The fourth proportional to 2,465.93, 3,697.07 and 1,165.88 is: 1,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.93 : 3,697.07 = 1,165.88 : x
  2. Step 2: Convert to fraction form
    2,465.93/3,697.07 = 1,165.88/x
  3. Step 3: Cross multiply
    2,465.93x = 3,697.07 × 1,165.88
  4. Step 4: Simplify right side
    2,465.93x = 4,310,315.66
  5. Step 5: Solve for x
    x = 4,310,315.66/2,465.93
  6. Step 6: Final answer
    x = 1,747.95

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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.