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Finding the Fourth Proportional to 2,303.30, 3,455.48 and 659.86

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Solution

The fourth proportional to 2,303.30, 3,455.48 and 659.86 is: 989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.30 : 3,455.48 = 659.86 : x
  2. Step 2: Convert to fraction form
    2,303.30/3,455.48 = 659.86/x
  3. Step 3: Cross multiply
    2,303.30x = 3,455.48 × 659.86
  4. Step 4: Simplify right side
    2,303.30x = 2,280,133.03
  5. Step 5: Solve for x
    x = 2,280,133.03/2,303.30
  6. Step 6: Final answer
    x = 989.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.