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Finding the Fourth Proportional to 2,044.08, 3,065.95 and 657.05

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Solution

The fourth proportional to 2,044.08, 3,065.95 and 657.05 is: 985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.08 : 3,065.95 = 657.05 : x
  2. Step 2: Convert to fraction form
    2,044.08/3,065.95 = 657.05/x
  3. Step 3: Cross multiply
    2,044.08x = 3,065.95 × 657.05
  4. Step 4: Simplify right side
    2,044.08x = 2,014,464.24
  5. Step 5: Solve for x
    x = 2,014,464.24/2,044.08
  6. Step 6: Final answer
    x = 985.51

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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.