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Finding the Fourth Proportional to 1,698.34, 2,342.22 and 1,109.08

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Solution

The fourth proportional to 1,698.34, 2,342.22 and 1,109.08 is: 1,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.34 : 2,342.22 = 1,109.08 : x
  2. Step 2: Convert to fraction form
    1,698.34/2,342.22 = 1,109.08/x
  3. Step 3: Cross multiply
    1,698.34x = 2,342.22 × 1,109.08
  4. Step 4: Simplify right side
    1,698.34x = 2,597,709.36
  5. Step 5: Solve for x
    x = 2,597,709.36/1,698.34
  6. Step 6: Final answer
    x = 1,529.56

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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.