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Finding the Fourth Proportional to 2,205.65, 3,043.80 and 1,210.93

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Solution

The fourth proportional to 2,205.65, 3,043.80 and 1,210.93 is: 1,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.65 : 3,043.80 = 1,210.93 : x
  2. Step 2: Convert to fraction form
    2,205.65/3,043.80 = 1,210.93/x
  3. Step 3: Cross multiply
    2,205.65x = 3,043.80 × 1,210.93
  4. Step 4: Simplify right side
    2,205.65x = 3,685,822.68
  5. Step 5: Solve for x
    x = 3,685,822.68/2,205.65
  6. Step 6: Final answer
    x = 1,671.08

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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.