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Finding the Fourth Proportional to 2,045.12, 3,069.84 and 950.54

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Solution

The fourth proportional to 2,045.12, 3,069.84 and 950.54 is: 1,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.12 : 3,069.84 = 950.54 : x
  2. Step 2: Convert to fraction form
    2,045.12/3,069.84 = 950.54/x
  3. Step 3: Cross multiply
    2,045.12x = 3,069.84 × 950.54
  4. Step 4: Simplify right side
    2,045.12x = 2,918,005.71
  5. Step 5: Solve for x
    x = 2,918,005.71/2,045.12
  6. Step 6: Final answer
    x = 1,426.81

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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.