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Finding the Fourth Proportional to 2,346.72, 3,517.68 and 1,526.64

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Solution

The fourth proportional to 2,346.72, 3,517.68 and 1,526.64 is: 2,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.72 : 3,517.68 = 1,526.64 : x
  2. Step 2: Convert to fraction form
    2,346.72/3,517.68 = 1,526.64/x
  3. Step 3: Cross multiply
    2,346.72x = 3,517.68 × 1,526.64
  4. Step 4: Simplify right side
    2,346.72x = 5,370,231.00
  5. Step 5: Solve for x
    x = 5,370,231.00/2,346.72
  6. Step 6: Final answer
    x = 2,288.40

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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.