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Finding the Fourth Proportional to 3,076.68, 4,612.46 and 1,432.36

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Solution

The fourth proportional to 3,076.68, 4,612.46 and 1,432.36 is: 2,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.68 : 4,612.46 = 1,432.36 : x
  2. Step 2: Convert to fraction form
    3,076.68/4,612.46 = 1,432.36/x
  3. Step 3: Cross multiply
    3,076.68x = 4,612.46 × 1,432.36
  4. Step 4: Simplify right side
    3,076.68x = 6,606,703.21
  5. Step 5: Solve for x
    x = 6,606,703.21/3,076.68
  6. Step 6: Final answer
    x = 2,147.35

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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.