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Finding the Fourth Proportional to 3,096.34, 4,642.62 and 1,315.30

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Solution

The fourth proportional to 3,096.34, 4,642.62 and 1,315.30 is: 1,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.34 : 4,642.62 = 1,315.30 : x
  2. Step 2: Convert to fraction form
    3,096.34/4,642.62 = 1,315.30/x
  3. Step 3: Cross multiply
    3,096.34x = 4,642.62 × 1,315.30
  4. Step 4: Simplify right side
    3,096.34x = 6,106,438.09
  5. Step 5: Solve for x
    x = 6,106,438.09/3,096.34
  6. Step 6: Final answer
    x = 1,972.15

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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.