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Finding the Fourth Proportional to 1,698.69, 2,344.46 and 952.95

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Solution

The fourth proportional to 1,698.69, 2,344.46 and 952.95 is: 1,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.69 : 2,344.46 = 952.95 : x
  2. Step 2: Convert to fraction form
    1,698.69/2,344.46 = 952.95/x
  3. Step 3: Cross multiply
    1,698.69x = 2,344.46 × 952.95
  4. Step 4: Simplify right side
    1,698.69x = 2,234,148.39
  5. Step 5: Solve for x
    x = 2,234,148.39/1,698.69
  6. Step 6: Final answer
    x = 1,315.22

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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.