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Finding the Fourth Proportional to 3,404.32, 4,698 and 1,932.32

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Solution

The fourth proportional to 3,404.32, 4,698 and 1,932.32 is: 2,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.32 : 4,698 = 1,932.32 : x
  2. Step 2: Convert to fraction form
    3,404.32/4,698 = 1,932.32/x
  3. Step 3: Cross multiply
    3,404.32x = 4,698 × 1,932.32
  4. Step 4: Simplify right side
    3,404.32x = 9,078,039.36
  5. Step 5: Solve for x
    x = 9,078,039.36/3,404.32
  6. Step 6: Final answer
    x = 2,666.62

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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.