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Finding the Fourth Proportional to 2,636.96, 3,639.28 and 1,458.04

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Solution

The fourth proportional to 2,636.96, 3,639.28 and 1,458.04 is: 2,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.96 : 3,639.28 = 1,458.04 : x
  2. Step 2: Convert to fraction form
    2,636.96/3,639.28 = 1,458.04/x
  3. Step 3: Cross multiply
    2,636.96x = 3,639.28 × 1,458.04
  4. Step 4: Simplify right side
    2,636.96x = 5,306,215.81
  5. Step 5: Solve for x
    x = 5,306,215.81/2,636.96
  6. Step 6: Final answer
    x = 2,012.25

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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.