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Finding the Fourth Proportional to 1,782.75, 2,459.98 and 985.97

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Solution

The fourth proportional to 1,782.75, 2,459.98 and 985.97 is: 1,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.75 : 2,459.98 = 985.97 : x
  2. Step 2: Convert to fraction form
    1,782.75/2,459.98 = 985.97/x
  3. Step 3: Cross multiply
    1,782.75x = 2,459.98 × 985.97
  4. Step 4: Simplify right side
    1,782.75x = 2,425,449.25
  5. Step 5: Solve for x
    x = 2,425,449.25/1,782.75
  6. Step 6: Final answer
    x = 1,360.51

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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.