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Finding the Fourth Proportional to 4,328.50, 6,492.76 and 1,208.52

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Solution

The fourth proportional to 4,328.50, 6,492.76 and 1,208.52 is: 1,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.50 : 6,492.76 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    4,328.50/6,492.76 = 1,208.52/x
  3. Step 3: Cross multiply
    4,328.50x = 6,492.76 × 1,208.52
  4. Step 4: Simplify right side
    4,328.50x = 7,846,630.32
  5. Step 5: Solve for x
    x = 7,846,630.32/4,328.50
  6. Step 6: Final answer
    x = 1,812.78

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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.