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Finding the Fourth Proportional to 2,043.70, 3,065.55 and 744.64

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Solution

The fourth proportional to 2,043.70, 3,065.55 and 744.64 is: 1,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.70 : 3,065.55 = 744.64 : x
  2. Step 2: Convert to fraction form
    2,043.70/3,065.55 = 744.64/x
  3. Step 3: Cross multiply
    2,043.70x = 3,065.55 × 744.64
  4. Step 4: Simplify right side
    2,043.70x = 2,282,731.15
  5. Step 5: Solve for x
    x = 2,282,731.15/2,043.70
  6. Step 6: Final answer
    x = 1,116.96

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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.