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Finding the Fourth Proportional to 3,209.76, 4,429.68 and 2,030.40

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Solution

The fourth proportional to 3,209.76, 4,429.68 and 2,030.40 is: 2,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.76 : 4,429.68 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    3,209.76/4,429.68 = 2,030.40/x
  3. Step 3: Cross multiply
    3,209.76x = 4,429.68 × 2,030.40
  4. Step 4: Simplify right side
    3,209.76x = 8,994,022.27
  5. Step 5: Solve for x
    x = 8,994,022.27/3,209.76
  6. Step 6: Final answer
    x = 2,802.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.