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Finding the Fourth Proportional to 1,761.82, 2,643.08 and 787.93

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Solution

The fourth proportional to 1,761.82, 2,643.08 and 787.93 is: 1,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.82 : 2,643.08 = 787.93 : x
  2. Step 2: Convert to fraction form
    1,761.82/2,643.08 = 787.93/x
  3. Step 3: Cross multiply
    1,761.82x = 2,643.08 × 787.93
  4. Step 4: Simplify right side
    1,761.82x = 2,082,551.48
  5. Step 5: Solve for x
    x = 2,082,551.48/1,761.82
  6. Step 6: Final answer
    x = 1,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.