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Finding the Fourth Proportional to 3,128.69, 4,317.54 and 1,731.44

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Solution

The fourth proportional to 3,128.69, 4,317.54 and 1,731.44 is: 2,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.69 : 4,317.54 = 1,731.44 : x
  2. Step 2: Convert to fraction form
    3,128.69/4,317.54 = 1,731.44/x
  3. Step 3: Cross multiply
    3,128.69x = 4,317.54 × 1,731.44
  4. Step 4: Simplify right side
    3,128.69x = 7,475,561.46
  5. Step 5: Solve for x
    x = 7,475,561.46/3,128.69
  6. Step 6: Final answer
    x = 2,389.36

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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.