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Finding the Fourth Proportional to 2,061.85, 3,094.29 and 1,283.00

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Solution

The fourth proportional to 2,061.85, 3,094.29 and 1,283.00 is: 1,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.85 : 3,094.29 = 1,283.00 : x
  2. Step 2: Convert to fraction form
    2,061.85/3,094.29 = 1,283.00/x
  3. Step 3: Cross multiply
    2,061.85x = 3,094.29 × 1,283.00
  4. Step 4: Simplify right side
    2,061.85x = 3,969,958.60
  5. Step 5: Solve for x
    x = 3,969,958.60/2,061.85
  6. Step 6: Final answer
    x = 1,925.44

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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.