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Finding the Fourth Proportional to 2,303.15, 3,455.31 and 659.81

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Solution

The fourth proportional to 2,303.15, 3,455.31 and 659.81 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.15 : 3,455.31 = 659.81 : x
  2. Step 2: Convert to fraction form
    2,303.15/3,455.31 = 659.81/x
  3. Step 3: Cross multiply
    2,303.15x = 3,455.31 × 659.81
  4. Step 4: Simplify right side
    2,303.15x = 2,279,830.81
  5. Step 5: Solve for x
    x = 2,279,830.81/2,303.15
  6. Step 6: Final answer
    x = 989.88

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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.