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Finding the Fourth Proportional to 2,464.16, 3,696.30 and 709.29

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Solution

The fourth proportional to 2,464.16, 3,696.30 and 709.29 is: 1,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.16 : 3,696.30 = 709.29 : x
  2. Step 2: Convert to fraction form
    2,464.16/3,696.30 = 709.29/x
  3. Step 3: Cross multiply
    2,464.16x = 3,696.30 × 709.29
  4. Step 4: Simplify right side
    2,464.16x = 2,621,748.63
  5. Step 5: Solve for x
    x = 2,621,748.63/2,464.16
  6. Step 6: Final answer
    x = 1,063.95

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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.