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Finding the Fourth Proportional to 2,596.30, 3,895 and 841.40

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Solution

The fourth proportional to 2,596.30, 3,895 and 841.40 is: 1,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.30 : 3,895 = 841.40 : x
  2. Step 2: Convert to fraction form
    2,596.30/3,895 = 841.40/x
  3. Step 3: Cross multiply
    2,596.30x = 3,895 × 841.40
  4. Step 4: Simplify right side
    2,596.30x = 3,277,253
  5. Step 5: Solve for x
    x = 3,277,253/2,596.30
  6. Step 6: Final answer
    x = 1,262.28

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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.