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Finding the Fourth Proportional to 1,376.12, 2,061.42 and 828.00

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Solution

The fourth proportional to 1,376.12, 2,061.42 and 828.00 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.12 : 2,061.42 = 828.00 : x
  2. Step 2: Convert to fraction form
    1,376.12/2,061.42 = 828.00/x
  3. Step 3: Cross multiply
    1,376.12x = 2,061.42 × 828.00
  4. Step 4: Simplify right side
    1,376.12x = 1,706,845.45
  5. Step 5: Solve for x
    x = 1,706,845.45/1,376.12
  6. Step 6: Final answer
    x = 1,240.34

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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.