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Finding the Fourth Proportional to 2,043.70, 3,065.51 and 657.14

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Solution

The fourth proportional to 2,043.70, 3,065.51 and 657.14 is: 985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.70 : 3,065.51 = 657.14 : x
  2. Step 2: Convert to fraction form
    2,043.70/3,065.51 = 657.14/x
  3. Step 3: Cross multiply
    2,043.70x = 3,065.51 × 657.14
  4. Step 4: Simplify right side
    2,043.70x = 2,014,455.56
  5. Step 5: Solve for x
    x = 2,014,455.56/2,043.70
  6. Step 6: Final answer
    x = 985.69

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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.