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Finding the Fourth Proportional to 2,074.96, 2,863.80 and 1,411.36

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Solution

The fourth proportional to 2,074.96, 2,863.80 and 1,411.36 is: 1,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.96 : 2,863.80 = 1,411.36 : x
  2. Step 2: Convert to fraction form
    2,074.96/2,863.80 = 1,411.36/x
  3. Step 3: Cross multiply
    2,074.96x = 2,863.80 × 1,411.36
  4. Step 4: Simplify right side
    2,074.96x = 4,041,852.77
  5. Step 5: Solve for x
    x = 4,041,852.77/2,074.96
  6. Step 6: Final answer
    x = 1,947.92

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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.