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Finding the Fourth Proportional to 3,056.78, 4,218.36 and 1,730.46

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Solution

The fourth proportional to 3,056.78, 4,218.36 and 1,730.46 is: 2,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.78 : 4,218.36 = 1,730.46 : x
  2. Step 2: Convert to fraction form
    3,056.78/4,218.36 = 1,730.46/x
  3. Step 3: Cross multiply
    3,056.78x = 4,218.36 × 1,730.46
  4. Step 4: Simplify right side
    3,056.78x = 7,299,703.25
  5. Step 5: Solve for x
    x = 7,299,703.25/3,056.78
  6. Step 6: Final answer
    x = 2,388.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.