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Finding the Fourth Proportional to 3,084.66, 4,256.85 and 1,758.35

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Solution

The fourth proportional to 3,084.66, 4,256.85 and 1,758.35 is: 2,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.66 : 4,256.85 = 1,758.35 : x
  2. Step 2: Convert to fraction form
    3,084.66/4,256.85 = 1,758.35/x
  3. Step 3: Cross multiply
    3,084.66x = 4,256.85 × 1,758.35
  4. Step 4: Simplify right side
    3,084.66x = 7,485,010.91
  5. Step 5: Solve for x
    x = 7,485,010.91/3,084.66
  6. Step 6: Final answer
    x = 2,426.53

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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.