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Finding the Fourth Proportional to 2,403.78, 3,597.84 and 1,305.42

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Solution

The fourth proportional to 2,403.78, 3,597.84 and 1,305.42 is: 1,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.78 : 3,597.84 = 1,305.42 : x
  2. Step 2: Convert to fraction form
    2,403.78/3,597.84 = 1,305.42/x
  3. Step 3: Cross multiply
    2,403.78x = 3,597.84 × 1,305.42
  4. Step 4: Simplify right side
    2,403.78x = 4,696,692.29
  5. Step 5: Solve for x
    x = 4,696,692.29/2,403.78
  6. Step 6: Final answer
    x = 1,953.88

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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.