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Finding the Fourth Proportional to 2,356.30, 3,534.96 and 895.48

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Solution

The fourth proportional to 2,356.30, 3,534.96 and 895.48 is: 1,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.30 : 3,534.96 = 895.48 : x
  2. Step 2: Convert to fraction form
    2,356.30/3,534.96 = 895.48/x
  3. Step 3: Cross multiply
    2,356.30x = 3,534.96 × 895.48
  4. Step 4: Simplify right side
    2,356.30x = 3,165,485.98
  5. Step 5: Solve for x
    x = 3,165,485.98/2,356.30
  6. Step 6: Final answer
    x = 1,343.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.