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Finding the Fourth Proportional to 1,579.91, 2,180.24 and 917.13

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Solution

The fourth proportional to 1,579.91, 2,180.24 and 917.13 is: 1,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.91 : 2,180.24 = 917.13 : x
  2. Step 2: Convert to fraction form
    1,579.91/2,180.24 = 917.13/x
  3. Step 3: Cross multiply
    1,579.91x = 2,180.24 × 917.13
  4. Step 4: Simplify right side
    1,579.91x = 1,999,563.51
  5. Step 5: Solve for x
    x = 1,999,563.51/1,579.91
  6. Step 6: Final answer
    x = 1,265.62

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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.