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Finding the Fourth Proportional to 1,863.50, 2,571.64 and 1,035.50

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Solution

The fourth proportional to 1,863.50, 2,571.64 and 1,035.50 is: 1,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.50 : 2,571.64 = 1,035.50 : x
  2. Step 2: Convert to fraction form
    1,863.50/2,571.64 = 1,035.50/x
  3. Step 3: Cross multiply
    1,863.50x = 2,571.64 × 1,035.50
  4. Step 4: Simplify right side
    1,863.50x = 2,662,933.22
  5. Step 5: Solve for x
    x = 2,662,933.22/1,863.50
  6. Step 6: Final answer
    x = 1,429.00

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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.