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Finding the Fourth Proportional to 2,959.57, 4,084.06 and 1,699.75

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Solution

The fourth proportional to 2,959.57, 4,084.06 and 1,699.75 is: 2,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.57 : 4,084.06 = 1,699.75 : x
  2. Step 2: Convert to fraction form
    2,959.57/4,084.06 = 1,699.75/x
  3. Step 3: Cross multiply
    2,959.57x = 4,084.06 × 1,699.75
  4. Step 4: Simplify right side
    2,959.57x = 6,941,880.99
  5. Step 5: Solve for x
    x = 6,941,880.99/2,959.57
  6. Step 6: Final answer
    x = 2,345.57

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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.