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Finding the Fourth Proportional to 1,964.21, 2,712.35 and 1,465.99

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Solution

The fourth proportional to 1,964.21, 2,712.35 and 1,465.99 is: 2,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.21 : 2,712.35 = 1,465.99 : x
  2. Step 2: Convert to fraction form
    1,964.21/2,712.35 = 1,465.99/x
  3. Step 3: Cross multiply
    1,964.21x = 2,712.35 × 1,465.99
  4. Step 4: Simplify right side
    1,964.21x = 3,976,274.86
  5. Step 5: Solve for x
    x = 3,976,274.86/1,964.21
  6. Step 6: Final answer
    x = 2,024.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.