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Finding the Fourth Proportional to 1,580.35, 2,180.78 and 872.08

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Solution

The fourth proportional to 1,580.35, 2,180.78 and 872.08 is: 1,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.35 : 2,180.78 = 872.08 : x
  2. Step 2: Convert to fraction form
    1,580.35/2,180.78 = 872.08/x
  3. Step 3: Cross multiply
    1,580.35x = 2,180.78 × 872.08
  4. Step 4: Simplify right side
    1,580.35x = 1,901,814.62
  5. Step 5: Solve for x
    x = 1,901,814.62/1,580.35
  6. Step 6: Final answer
    x = 1,203.41

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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.