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Finding the Fourth Proportional to 1,698.72, 2,344.35 and 952.74

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Solution

The fourth proportional to 1,698.72, 2,344.35 and 952.74 is: 1,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.72 : 2,344.35 = 952.74 : x
  2. Step 2: Convert to fraction form
    1,698.72/2,344.35 = 952.74/x
  3. Step 3: Cross multiply
    1,698.72x = 2,344.35 × 952.74
  4. Step 4: Simplify right side
    1,698.72x = 2,233,556.02
  5. Step 5: Solve for x
    x = 2,233,556.02/1,698.72
  6. Step 6: Final answer
    x = 1,314.85

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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.