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Finding the Fourth Proportional to 1,787.83, 2,467.11 and 1,041.91

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Solution

The fourth proportional to 1,787.83, 2,467.11 and 1,041.91 is: 1,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.83 : 2,467.11 = 1,041.91 : x
  2. Step 2: Convert to fraction form
    1,787.83/2,467.11 = 1,041.91/x
  3. Step 3: Cross multiply
    1,787.83x = 2,467.11 × 1,041.91
  4. Step 4: Simplify right side
    1,787.83x = 2,570,510.14
  5. Step 5: Solve for x
    x = 2,570,510.14/1,787.83
  6. Step 6: Final answer
    x = 1,437.78

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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.