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Finding the Fourth Proportional to 2,041.94, 2,816.70 and 1,411.50

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Solution

The fourth proportional to 2,041.94, 2,816.70 and 1,411.50 is: 1,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.94 : 2,816.70 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    2,041.94/2,816.70 = 1,411.50/x
  3. Step 3: Cross multiply
    2,041.94x = 2,816.70 × 1,411.50
  4. Step 4: Simplify right side
    2,041.94x = 3,975,772.05
  5. Step 5: Solve for x
    x = 3,975,772.05/2,041.94
  6. Step 6: Final answer
    x = 1,947.06

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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.