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Finding the Fourth Proportional to 2,455.63, 3,678.05 and 2,263.58

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Solution

The fourth proportional to 2,455.63, 3,678.05 and 2,263.58 is: 3,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.63 : 3,678.05 = 2,263.58 : x
  2. Step 2: Convert to fraction form
    2,455.63/3,678.05 = 2,263.58/x
  3. Step 3: Cross multiply
    2,455.63x = 3,678.05 × 2,263.58
  4. Step 4: Simplify right side
    2,455.63x = 8,325,560.42
  5. Step 5: Solve for x
    x = 8,325,560.42/2,455.63
  6. Step 6: Final answer
    x = 3,390.40

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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.