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Finding the Fourth Proportional to 2,182.96, 3,275.52 and 1,895.68

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Solution

The fourth proportional to 2,182.96, 3,275.52 and 1,895.68 is: 2,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.96 : 3,275.52 = 1,895.68 : x
  2. Step 2: Convert to fraction form
    2,182.96/3,275.52 = 1,895.68/x
  3. Step 3: Cross multiply
    2,182.96x = 3,275.52 × 1,895.68
  4. Step 4: Simplify right side
    2,182.96x = 6,209,337.75
  5. Step 5: Solve for x
    x = 6,209,337.75/2,182.96
  6. Step 6: Final answer
    x = 2,844.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.