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Finding the Fourth Proportional to 3,096.53, 4,641.67 and 1,537.67

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Solution

The fourth proportional to 3,096.53, 4,641.67 and 1,537.67 is: 2,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.53 : 4,641.67 = 1,537.67 : x
  2. Step 2: Convert to fraction form
    3,096.53/4,641.67 = 1,537.67/x
  3. Step 3: Cross multiply
    3,096.53x = 4,641.67 × 1,537.67
  4. Step 4: Simplify right side
    3,096.53x = 7,137,356.71
  5. Step 5: Solve for x
    x = 7,137,356.71/3,096.53
  6. Step 6: Final answer
    x = 2,304.95

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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.