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Finding the Fourth Proportional to 3,148.64, 4,339.68 and 2,361.32

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Solution

The fourth proportional to 3,148.64, 4,339.68 and 2,361.32 is: 3,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.64 : 4,339.68 = 2,361.32 : x
  2. Step 2: Convert to fraction form
    3,148.64/4,339.68 = 2,361.32/x
  3. Step 3: Cross multiply
    3,148.64x = 4,339.68 × 2,361.32
  4. Step 4: Simplify right side
    3,148.64x = 10,247,373.18
  5. Step 5: Solve for x
    x = 10,247,373.18/3,148.64
  6. Step 6: Final answer
    x = 3,254.54

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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.