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Finding the Fourth Proportional to 3,405.40, 4,699.62 and 1,913.24

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Solution

The fourth proportional to 3,405.40, 4,699.62 and 1,913.24 is: 2,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.40 : 4,699.62 = 1,913.24 : x
  2. Step 2: Convert to fraction form
    3,405.40/4,699.62 = 1,913.24/x
  3. Step 3: Cross multiply
    3,405.40x = 4,699.62 × 1,913.24
  4. Step 4: Simplify right side
    3,405.40x = 8,991,500.97
  5. Step 5: Solve for x
    x = 8,991,500.97/3,405.40
  6. Step 6: Final answer
    x = 2,640.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.