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Finding the Fourth Proportional to 2,636.28, 3,955.35 and 1,647.95

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Solution

The fourth proportional to 2,636.28, 3,955.35 and 1,647.95 is: 2,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.28 : 3,955.35 = 1,647.95 : x
  2. Step 2: Convert to fraction form
    2,636.28/3,955.35 = 1,647.95/x
  3. Step 3: Cross multiply
    2,636.28x = 3,955.35 × 1,647.95
  4. Step 4: Simplify right side
    2,636.28x = 6,518,199.26
  5. Step 5: Solve for x
    x = 6,518,199.26/2,636.28
  6. Step 6: Final answer
    x = 2,472.50

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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.