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Finding the Fourth Proportional to 3,182.63, 4,391.65 and 1,856.28

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Solution

The fourth proportional to 3,182.63, 4,391.65 and 1,856.28 is: 2,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.63 : 4,391.65 = 1,856.28 : x
  2. Step 2: Convert to fraction form
    3,182.63/4,391.65 = 1,856.28/x
  3. Step 3: Cross multiply
    3,182.63x = 4,391.65 × 1,856.28
  4. Step 4: Simplify right side
    3,182.63x = 8,152,150.85
  5. Step 5: Solve for x
    x = 8,152,150.85/3,182.63
  6. Step 6: Final answer
    x = 2,561.46

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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.