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Finding the Fourth Proportional to 2,068.54, 2,855.55 and 1,405.42

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Solution

The fourth proportional to 2,068.54, 2,855.55 and 1,405.42 is: 1,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.54 : 2,855.55 = 1,405.42 : x
  2. Step 2: Convert to fraction form
    2,068.54/2,855.55 = 1,405.42/x
  3. Step 3: Cross multiply
    2,068.54x = 2,855.55 × 1,405.42
  4. Step 4: Simplify right side
    2,068.54x = 4,013,247.08
  5. Step 5: Solve for x
    x = 4,013,247.08/2,068.54
  6. Step 6: Final answer
    x = 1,940.14

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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.