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Finding the Fourth Proportional to 2,315.56, 3,473.56 and 854.36

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Solution

The fourth proportional to 2,315.56, 3,473.56 and 854.36 is: 1,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.56 : 3,473.56 = 854.36 : x
  2. Step 2: Convert to fraction form
    2,315.56/3,473.56 = 854.36/x
  3. Step 3: Cross multiply
    2,315.56x = 3,473.56 × 854.36
  4. Step 4: Simplify right side
    2,315.56x = 2,967,670.72
  5. Step 5: Solve for x
    x = 2,967,670.72/2,315.56
  6. Step 6: Final answer
    x = 1,281.62

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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.