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Finding the Fourth Proportional to 2,010.22, 3,015.33 and 983.50

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Solution

The fourth proportional to 2,010.22, 3,015.33 and 983.50 is: 1,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.22 : 3,015.33 = 983.50 : x
  2. Step 2: Convert to fraction form
    2,010.22/3,015.33 = 983.50/x
  3. Step 3: Cross multiply
    2,010.22x = 3,015.33 × 983.50
  4. Step 4: Simplify right side
    2,010.22x = 2,965,577.06
  5. Step 5: Solve for x
    x = 2,965,577.06/2,010.22
  6. Step 6: Final answer
    x = 1,475.25

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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.