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Finding the Fourth Proportional to 2,111.50, 2,913.87 and 1,283.50

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Solution

The fourth proportional to 2,111.50, 2,913.87 and 1,283.50 is: 1,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.50 : 2,913.87 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    2,111.50/2,913.87 = 1,283.50/x
  3. Step 3: Cross multiply
    2,111.50x = 2,913.87 × 1,283.50
  4. Step 4: Simplify right side
    2,111.50x = 3,739,952.15
  5. Step 5: Solve for x
    x = 3,739,952.15/2,111.50
  6. Step 6: Final answer
    x = 1,771.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.