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Finding the Fourth Proportional to 3,094.96, 4,643.52 and 1,364.80

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Solution

The fourth proportional to 3,094.96, 4,643.52 and 1,364.80 is: 2,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.96 : 4,643.52 = 1,364.80 : x
  2. Step 2: Convert to fraction form
    3,094.96/4,643.52 = 1,364.80/x
  3. Step 3: Cross multiply
    3,094.96x = 4,643.52 × 1,364.80
  4. Step 4: Simplify right side
    3,094.96x = 6,337,476.10
  5. Step 5: Solve for x
    x = 6,337,476.10/3,094.96
  6. Step 6: Final answer
    x = 2,047.68

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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.