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Finding the Fourth Proportional to 2,019.52, 3,028.26 and 924.66

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Solution

The fourth proportional to 2,019.52, 3,028.26 and 924.66 is: 1,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.52 : 3,028.26 = 924.66 : x
  2. Step 2: Convert to fraction form
    2,019.52/3,028.26 = 924.66/x
  3. Step 3: Cross multiply
    2,019.52x = 3,028.26 × 924.66
  4. Step 4: Simplify right side
    2,019.52x = 2,800,110.89
  5. Step 5: Solve for x
    x = 2,800,110.89/2,019.52
  6. Step 6: Final answer
    x = 1,386.52

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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.