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Finding the Fourth Proportional to 2,043.02, 3,065.12 and 656.32

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Solution

The fourth proportional to 2,043.02, 3,065.12 and 656.32 is: 984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.02 : 3,065.12 = 656.32 : x
  2. Step 2: Convert to fraction form
    2,043.02/3,065.12 = 656.32/x
  3. Step 3: Cross multiply
    2,043.02x = 3,065.12 × 656.32
  4. Step 4: Simplify right side
    2,043.02x = 2,011,699.56
  5. Step 5: Solve for x
    x = 2,011,699.56/2,043.02
  6. Step 6: Final answer
    x = 984.67

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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.