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Finding the Fourth Proportional to 1,668.75, 2,302.88 and 970.17

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Solution

The fourth proportional to 1,668.75, 2,302.88 and 970.17 is: 1,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.75 : 2,302.88 = 970.17 : x
  2. Step 2: Convert to fraction form
    1,668.75/2,302.88 = 970.17/x
  3. Step 3: Cross multiply
    1,668.75x = 2,302.88 × 970.17
  4. Step 4: Simplify right side
    1,668.75x = 2,234,185.09
  5. Step 5: Solve for x
    x = 2,234,185.09/1,668.75
  6. Step 6: Final answer
    x = 1,338.84

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Half scale
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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.