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Finding the Fourth Proportional to 1,453.75, 2,181.59 and 684.31

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Solution

The fourth proportional to 1,453.75, 2,181.59 and 684.31 is: 1,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.75 : 2,181.59 = 684.31 : x
  2. Step 2: Convert to fraction form
    1,453.75/2,181.59 = 684.31/x
  3. Step 3: Cross multiply
    1,453.75x = 2,181.59 × 684.31
  4. Step 4: Simplify right side
    1,453.75x = 1,492,883.85
  5. Step 5: Solve for x
    x = 1,492,883.85/1,453.75
  6. Step 6: Final answer
    x = 1,026.92

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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.