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Finding the Fourth Proportional to 2,636.93, 3,639.15 and 1,457.98

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Solution

The fourth proportional to 2,636.93, 3,639.15 and 1,457.98 is: 2,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.93 : 3,639.15 = 1,457.98 : x
  2. Step 2: Convert to fraction form
    2,636.93/3,639.15 = 1,457.98/x
  3. Step 3: Cross multiply
    2,636.93x = 3,639.15 × 1,457.98
  4. Step 4: Simplify right side
    2,636.93x = 5,305,798.82
  5. Step 5: Solve for x
    x = 5,305,798.82/2,636.93
  6. Step 6: Final answer
    x = 2,012.11

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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.