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Finding the Fourth Proportional to 2,861.92, 4,292.52 and 782.08

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Solution

The fourth proportional to 2,861.92, 4,292.52 and 782.08 is: 1,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.92 : 4,292.52 = 782.08 : x
  2. Step 2: Convert to fraction form
    2,861.92/4,292.52 = 782.08/x
  3. Step 3: Cross multiply
    2,861.92x = 4,292.52 × 782.08
  4. Step 4: Simplify right side
    2,861.92x = 3,357,094.04
  5. Step 5: Solve for x
    x = 3,357,094.04/2,861.92
  6. Step 6: Final answer
    x = 1,173.02

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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.