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Finding the Fourth Proportional to 2,465.40, 3,694.89 and 1,002.84

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Solution

The fourth proportional to 2,465.40, 3,694.89 and 1,002.84 is: 1,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.40 : 3,694.89 = 1,002.84 : x
  2. Step 2: Convert to fraction form
    2,465.40/3,694.89 = 1,002.84/x
  3. Step 3: Cross multiply
    2,465.40x = 3,694.89 × 1,002.84
  4. Step 4: Simplify right side
    2,465.40x = 3,705,383.49
  5. Step 5: Solve for x
    x = 3,705,383.49/2,465.40
  6. Step 6: Final answer
    x = 1,502.95

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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.