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Finding the Fourth Proportional to 2,434.12, 3,652.66 and 895.24

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Solution

The fourth proportional to 2,434.12, 3,652.66 and 895.24 is: 1,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.12 : 3,652.66 = 895.24 : x
  2. Step 2: Convert to fraction form
    2,434.12/3,652.66 = 895.24/x
  3. Step 3: Cross multiply
    2,434.12x = 3,652.66 × 895.24
  4. Step 4: Simplify right side
    2,434.12x = 3,270,007.34
  5. Step 5: Solve for x
    x = 3,270,007.34/2,434.12
  6. Step 6: Final answer
    x = 1,343.40

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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.