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Finding the Fourth Proportional to 2,958.32, 4,435.32 and 1,226

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Solution

The fourth proportional to 2,958.32, 4,435.32 and 1,226 is: 1,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.32 : 4,435.32 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,958.32/4,435.32 = 1,226/x
  3. Step 3: Cross multiply
    2,958.32x = 4,435.32 × 1,226
  4. Step 4: Simplify right side
    2,958.32x = 5,437,702.32
  5. Step 5: Solve for x
    x = 5,437,702.32/2,958.32
  6. Step 6: Final answer
    x = 1,838.10

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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.