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Finding the Fourth Proportional to 2,959.32, 4,083.72 and 1,699.49

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Solution

The fourth proportional to 2,959.32, 4,083.72 and 1,699.49 is: 2,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.32 : 4,083.72 = 1,699.49 : x
  2. Step 2: Convert to fraction form
    2,959.32/4,083.72 = 1,699.49/x
  3. Step 3: Cross multiply
    2,959.32x = 4,083.72 × 1,699.49
  4. Step 4: Simplify right side
    2,959.32x = 6,940,237.47
  5. Step 5: Solve for x
    x = 6,940,237.47/2,959.32
  6. Step 6: Final answer
    x = 2,345.21

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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.