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Finding the Fourth Proportional to 3,085.96, 4,630.99 and 1,442.64

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Solution

The fourth proportional to 3,085.96, 4,630.99 and 1,442.64 is: 2,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.96 : 4,630.99 = 1,442.64 : x
  2. Step 2: Convert to fraction form
    3,085.96/4,630.99 = 1,442.64/x
  3. Step 3: Cross multiply
    3,085.96x = 4,630.99 × 1,442.64
  4. Step 4: Simplify right side
    3,085.96x = 6,680,828.26
  5. Step 5: Solve for x
    x = 6,680,828.26/3,085.96
  6. Step 6: Final answer
    x = 2,164.91

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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.