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Finding the Fourth Proportional to 2,205.58, 3,043.68 and 1,210.87

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Solution

The fourth proportional to 2,205.58, 3,043.68 and 1,210.87 is: 1,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.58 : 3,043.68 = 1,210.87 : x
  2. Step 2: Convert to fraction form
    2,205.58/3,043.68 = 1,210.87/x
  3. Step 3: Cross multiply
    2,205.58x = 3,043.68 × 1,210.87
  4. Step 4: Simplify right side
    2,205.58x = 3,685,500.80
  5. Step 5: Solve for x
    x = 3,685,500.80/2,205.58
  6. Step 6: Final answer
    x = 1,670.99

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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.