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Finding the Fourth Proportional to 2,465.69, 3,704.28 and 2,332.99

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Solution

The fourth proportional to 2,465.69, 3,704.28 and 2,332.99 is: 3,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.69 : 3,704.28 = 2,332.99 : x
  2. Step 2: Convert to fraction form
    2,465.69/3,704.28 = 2,332.99/x
  3. Step 3: Cross multiply
    2,465.69x = 3,704.28 × 2,332.99
  4. Step 4: Simplify right side
    2,465.69x = 8,642,018.01
  5. Step 5: Solve for x
    x = 8,642,018.01/2,465.69
  6. Step 6: Final answer
    x = 3,504.91

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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.