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Finding the Fourth Proportional to 1,637.82, 2,259.50 and 1,007.64

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Solution

The fourth proportional to 1,637.82, 2,259.50 and 1,007.64 is: 1,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.82 : 2,259.50 = 1,007.64 : x
  2. Step 2: Convert to fraction form
    1,637.82/2,259.50 = 1,007.64/x
  3. Step 3: Cross multiply
    1,637.82x = 2,259.50 × 1,007.64
  4. Step 4: Simplify right side
    1,637.82x = 2,276,757.54
  5. Step 5: Solve for x
    x = 2,276,757.54/1,637.82
  6. Step 6: Final answer
    x = 1,390.11

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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.