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Finding the Fourth Proportional to 2,281.34, 3,423.33 and 895.62

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Solution

The fourth proportional to 2,281.34, 3,423.33 and 895.62 is: 1,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.34 : 3,423.33 = 895.62 : x
  2. Step 2: Convert to fraction form
    2,281.34/3,423.33 = 895.62/x
  3. Step 3: Cross multiply
    2,281.34x = 3,423.33 × 895.62
  4. Step 4: Simplify right side
    2,281.34x = 3,066,002.81
  5. Step 5: Solve for x
    x = 3,066,002.81/2,281.34
  6. Step 6: Final answer
    x = 1,343.95

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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.