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Finding the Fourth Proportional to 1,811.75, 2,500.22 and 983.75

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Solution

The fourth proportional to 1,811.75, 2,500.22 and 983.75 is: 1,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.75 : 2,500.22 = 983.75 : x
  2. Step 2: Convert to fraction form
    1,811.75/2,500.22 = 983.75/x
  3. Step 3: Cross multiply
    1,811.75x = 2,500.22 × 983.75
  4. Step 4: Simplify right side
    1,811.75x = 2,459,586.51
  5. Step 5: Solve for x
    x = 2,459,586.51/1,811.75
  6. Step 6: Final answer
    x = 1,357.58

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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.