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Finding the Fourth Proportional to 1,698.14, 2,343.10 and 952.10

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Solution

The fourth proportional to 1,698.14, 2,343.10 and 952.10 is: 1,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.14 : 2,343.10 = 952.10 : x
  2. Step 2: Convert to fraction form
    1,698.14/2,343.10 = 952.10/x
  3. Step 3: Cross multiply
    1,698.14x = 2,343.10 × 952.10
  4. Step 4: Simplify right side
    1,698.14x = 2,230,865.51
  5. Step 5: Solve for x
    x = 2,230,865.51/1,698.14
  6. Step 6: Final answer
    x = 1,313.71

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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.