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Finding the Fourth Proportional to 2,597.32, 3,895.84 and 842.41

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Solution

The fourth proportional to 2,597.32, 3,895.84 and 842.41 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.32 : 3,895.84 = 842.41 : x
  2. Step 2: Convert to fraction form
    2,597.32/3,895.84 = 842.41/x
  3. Step 3: Cross multiply
    2,597.32x = 3,895.84 × 842.41
  4. Step 4: Simplify right side
    2,597.32x = 3,281,894.57
  5. Step 5: Solve for x
    x = 3,281,894.57/2,597.32
  6. Step 6: Final answer
    x = 1,263.57

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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.