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Finding the Fourth Proportional to 2,636.01, 3,637.71 and 1,457.08

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Solution

The fourth proportional to 2,636.01, 3,637.71 and 1,457.08 is: 2,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.01 : 3,637.71 = 1,457.08 : x
  2. Step 2: Convert to fraction form
    2,636.01/3,637.71 = 1,457.08/x
  3. Step 3: Cross multiply
    2,636.01x = 3,637.71 × 1,457.08
  4. Step 4: Simplify right side
    2,636.01x = 5,300,425.39
  5. Step 5: Solve for x
    x = 5,300,425.39/2,636.01
  6. Step 6: Final answer
    x = 2,010.78

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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.