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Finding the Fourth Proportional to 2,300.59, 3,451.09 and 1,002.16

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Solution

The fourth proportional to 2,300.59, 3,451.09 and 1,002.16 is: 1,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.59 : 3,451.09 = 1,002.16 : x
  2. Step 2: Convert to fraction form
    2,300.59/3,451.09 = 1,002.16/x
  3. Step 3: Cross multiply
    2,300.59x = 3,451.09 × 1,002.16
  4. Step 4: Simplify right side
    2,300.59x = 3,458,544.35
  5. Step 5: Solve for x
    x = 3,458,544.35/2,300.59
  6. Step 6: Final answer
    x = 1,503.33

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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.