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Finding the Fourth Proportional to 1,895.12, 2,845.32 and 971.31

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Solution

The fourth proportional to 1,895.12, 2,845.32 and 971.31 is: 1,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.12 : 2,845.32 = 971.31 : x
  2. Step 2: Convert to fraction form
    1,895.12/2,845.32 = 971.31/x
  3. Step 3: Cross multiply
    1,895.12x = 2,845.32 × 971.31
  4. Step 4: Simplify right side
    1,895.12x = 2,763,687.77
  5. Step 5: Solve for x
    x = 2,763,687.77/1,895.12
  6. Step 6: Final answer
    x = 1,458.32

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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.