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Finding the Fourth Proportional to 2,346, 3,517.72 and 1,524.56

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Solution

The fourth proportional to 2,346, 3,517.72 and 1,524.56 is: 2,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346 : 3,517.72 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    2,346/3,517.72 = 1,524.56/x
  3. Step 3: Cross multiply
    2,346x = 3,517.72 × 1,524.56
  4. Step 4: Simplify right side
    2,346x = 5,362,975.20
  5. Step 5: Solve for x
    x = 5,362,975.20/2,346
  6. Step 6: Final answer
    x = 2,286.01

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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.