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Finding the Fourth Proportional to 1,650.18, 2,478.90 and 1,409.60

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Solution

The fourth proportional to 1,650.18, 2,478.90 and 1,409.60 is: 2,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.18 : 2,478.90 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    1,650.18/2,478.90 = 1,409.60/x
  3. Step 3: Cross multiply
    1,650.18x = 2,478.90 × 1,409.60
  4. Step 4: Simplify right side
    1,650.18x = 3,494,257.44
  5. Step 5: Solve for x
    x = 3,494,257.44/1,650.18
  6. Step 6: Final answer
    x = 2,117.50

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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.