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Finding the Fourth Proportional to 2,205.47, 3,303.86 and 1,279.08

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Solution

The fourth proportional to 2,205.47, 3,303.86 and 1,279.08 is: 1,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.47 : 3,303.86 = 1,279.08 : x
  2. Step 2: Convert to fraction form
    2,205.47/3,303.86 = 1,279.08/x
  3. Step 3: Cross multiply
    2,205.47x = 3,303.86 × 1,279.08
  4. Step 4: Simplify right side
    2,205.47x = 4,225,901.25
  5. Step 5: Solve for x
    x = 4,225,901.25/2,205.47
  6. Step 6: Final answer
    x = 1,916.10

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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.