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Finding the Fourth Proportional to 2,014.20, 3,020.96 and 553.01

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Solution

The fourth proportional to 2,014.20, 3,020.96 and 553.01 is: 829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.20 : 3,020.96 = 553.01 : x
  2. Step 2: Convert to fraction form
    2,014.20/3,020.96 = 553.01/x
  3. Step 3: Cross multiply
    2,014.20x = 3,020.96 × 553.01
  4. Step 4: Simplify right side
    2,014.20x = 1,670,603.22
  5. Step 5: Solve for x
    x = 1,670,603.22/2,014.20
  6. Step 6: Final answer
    x = 829.41

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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.