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Finding the Fourth Proportional to 2,561.42, 3,840.10 and 2,356.40

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Solution

The fourth proportional to 2,561.42, 3,840.10 and 2,356.40 is: 3,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.42 : 3,840.10 = 2,356.40 : x
  2. Step 2: Convert to fraction form
    2,561.42/3,840.10 = 2,356.40/x
  3. Step 3: Cross multiply
    2,561.42x = 3,840.10 × 2,356.40
  4. Step 4: Simplify right side
    2,561.42x = 9,048,815.35
  5. Step 5: Solve for x
    x = 9,048,815.35/2,561.42
  6. Step 6: Final answer
    x = 3,532.73

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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.