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Finding the Fourth Proportional to 2,219.03, 3,329.05 and 659.00

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Solution

The fourth proportional to 2,219.03, 3,329.05 and 659.00 is: 988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.03 : 3,329.05 = 659.00 : x
  2. Step 2: Convert to fraction form
    2,219.03/3,329.05 = 659.00/x
  3. Step 3: Cross multiply
    2,219.03x = 3,329.05 × 659.00
  4. Step 4: Simplify right side
    2,219.03x = 2,193,828.95
  5. Step 5: Solve for x
    x = 2,193,828.95/2,219.03
  6. Step 6: Final answer
    x = 988.64

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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.