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Finding the Fourth Proportional to 2,476.36, 3,715.21 and 895.24

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Solution

The fourth proportional to 2,476.36, 3,715.21 and 895.24 is: 1,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.36 : 3,715.21 = 895.24 : x
  2. Step 2: Convert to fraction form
    2,476.36/3,715.21 = 895.24/x
  3. Step 3: Cross multiply
    2,476.36x = 3,715.21 × 895.24
  4. Step 4: Simplify right side
    2,476.36x = 3,326,010.36
  5. Step 5: Solve for x
    x = 3,326,010.36/2,476.36
  6. Step 6: Final answer
    x = 1,343.10

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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.