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Finding the Fourth Proportional to 1,662.80, 2,295.95 and 1,074.74

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Solution

The fourth proportional to 1,662.80, 2,295.95 and 1,074.74 is: 1,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.80 : 2,295.95 = 1,074.74 : x
  2. Step 2: Convert to fraction form
    1,662.80/2,295.95 = 1,074.74/x
  3. Step 3: Cross multiply
    1,662.80x = 2,295.95 × 1,074.74
  4. Step 4: Simplify right side
    1,662.80x = 2,467,532.45
  5. Step 5: Solve for x
    x = 2,467,532.45/1,662.80
  6. Step 6: Final answer
    x = 1,483.97

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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.