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Finding the Fourth Proportional to 4,598.60, 6,900.83 and 1,966.12

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Solution

The fourth proportional to 4,598.60, 6,900.83 and 1,966.12 is: 2,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.60 : 6,900.83 = 1,966.12 : x
  2. Step 2: Convert to fraction form
    4,598.60/6,900.83 = 1,966.12/x
  3. Step 3: Cross multiply
    4,598.60x = 6,900.83 × 1,966.12
  4. Step 4: Simplify right side
    4,598.60x = 13,567,859.88
  5. Step 5: Solve for x
    x = 13,567,859.88/4,598.60
  6. Step 6: Final answer
    x = 2,950.43

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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.