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Finding the Fourth Proportional to 1,832.87, 2,749.76 and 583.43

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Solution

The fourth proportional to 1,832.87, 2,749.76 and 583.43 is: 875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.87 : 2,749.76 = 583.43 : x
  2. Step 2: Convert to fraction form
    1,832.87/2,749.76 = 583.43/x
  3. Step 3: Cross multiply
    1,832.87x = 2,749.76 × 583.43
  4. Step 4: Simplify right side
    1,832.87x = 1,604,275.81
  5. Step 5: Solve for x
    x = 1,604,275.81/1,832.87
  6. Step 6: Final answer
    x = 875.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.