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Finding the Fourth Proportional to 2,028.23, 3,041.07 and 711.50

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Solution

The fourth proportional to 2,028.23, 3,041.07 and 711.50 is: 1,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.23 : 3,041.07 = 711.50 : x
  2. Step 2: Convert to fraction form
    2,028.23/3,041.07 = 711.50/x
  3. Step 3: Cross multiply
    2,028.23x = 3,041.07 × 711.50
  4. Step 4: Simplify right side
    2,028.23x = 2,163,706.10
  5. Step 5: Solve for x
    x = 2,163,706.10/2,028.23
  6. Step 6: Final answer
    x = 1,066.80

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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.