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Finding the Fourth Proportional to 1,636.78, 2,259.41 and 1,007.56

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Solution

The fourth proportional to 1,636.78, 2,259.41 and 1,007.56 is: 1,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.78 : 2,259.41 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    1,636.78/2,259.41 = 1,007.56/x
  3. Step 3: Cross multiply
    1,636.78x = 2,259.41 × 1,007.56
  4. Step 4: Simplify right side
    1,636.78x = 2,276,491.14
  5. Step 5: Solve for x
    x = 2,276,491.14/1,636.78
  6. Step 6: Final answer
    x = 1,390.84

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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.