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Finding the Fourth Proportional to 3,405.85, 4,699.74 and 1,913.48

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Solution

The fourth proportional to 3,405.85, 4,699.74 and 1,913.48 is: 2,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.85 : 4,699.74 = 1,913.48 : x
  2. Step 2: Convert to fraction form
    3,405.85/4,699.74 = 1,913.48/x
  3. Step 3: Cross multiply
    3,405.85x = 4,699.74 × 1,913.48
  4. Step 4: Simplify right side
    3,405.85x = 8,992,858.50
  5. Step 5: Solve for x
    x = 8,992,858.50/3,405.85
  6. Step 6: Final answer
    x = 2,640.42

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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.