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Finding the Fourth Proportional to 1,581.83, 2,182.92 and 919.07

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Solution

The fourth proportional to 1,581.83, 2,182.92 and 919.07 is: 1,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.83 : 2,182.92 = 919.07 : x
  2. Step 2: Convert to fraction form
    1,581.83/2,182.92 = 919.07/x
  3. Step 3: Cross multiply
    1,581.83x = 2,182.92 × 919.07
  4. Step 4: Simplify right side
    1,581.83x = 2,006,261.74
  5. Step 5: Solve for x
    x = 2,006,261.74/1,581.83
  6. Step 6: Final answer
    x = 1,268.31

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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.