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Finding the Fourth Proportional to 2,315.76, 3,449.52 and 2,192.64

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Solution

The fourth proportional to 2,315.76, 3,449.52 and 2,192.64 is: 3,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.76 : 3,449.52 = 2,192.64 : x
  2. Step 2: Convert to fraction form
    2,315.76/3,449.52 = 2,192.64/x
  3. Step 3: Cross multiply
    2,315.76x = 3,449.52 × 2,192.64
  4. Step 4: Simplify right side
    2,315.76x = 7,563,555.53
  5. Step 5: Solve for x
    x = 7,563,555.53/2,315.76
  6. Step 6: Final answer
    x = 3,266.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.